Question 1

Solve the equation. $n ^ { 2 } - 3 n - 40 = 0$

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Question 2

The length of one leg of a right triangle is 14 centimeters more than the length of the other leg. The length of the hypotenuse is 26 centimeters. Find the lengths of the two legs. Please enter your answer as two numbers without the units, separated by a comma.

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Question 3

The perimeter of a rectangle is 34 centimeters and the area is 66 square centimeters. Find the length and width of the rectangle. Please enter your answer as two numbers without the units, separated by a comma.

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Question 4

One positive number is 5 larger than another number. The sum of their squares is 53. Find the numbers. Please enter your answer as two numbers, separated by a comma.

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Question 5

Suppose that one leg of a right triangle is 14 feet shorter than the other leg. The hypotenuse is 2 feet longer than the longer leg. Find the lengths of all three sides of the right triangle. Please enter your answer as three numbers without the units, separated by a comma.

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Question 6

Solve the equation. $x ( x - 10 ) = - 9$ Please enter your answer as two numbers, separated by a comma.

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Question 7

Solve the equation. $m ^ { 2 } + 7 m + 10 = 0$ If there is more than one solution, separate your answers with commas.

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Question 8

Suppose that the width of a certain rectangle is 6 inches less than its length. The area is numerically 9 less than twice the perimeter. Find the length and width of the rectangle. Please enter your answer as two numbers without the units, separated by a comma.

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Question 9

Solve the equation. $x ^ { 2 } + 2 x = 24$

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Question 10

Solve the equation. $x ^ { 2 } + 10 x + 24 = 0$ Please enter your answer as two numbers, separated by a comma.

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Question 11

Find two consecutive positive odd whole numbers whose product is 99. Please enter your answer as two numbers, separated by a comma.

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Question 12

Factor the following trinomial completely. $y ^ { 2 } - y - 2$

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Question 13

Solve the equation. $- x ^ { 2 } - 6 x + 7 = 0$ Please enter your answer as two numbers, separated by a comma.

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Question 14

Factor the following trinomial completely. $x ^ { 2 } + 4 x - 5$

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Question 15

Solve the equation. $x ^ { 2 } + 25 x + 154$ = 0 Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the equation. \(x ^ { 2...

Question 16

Factor the following trinomial completely. $x ^ { 2 } - 11 x + 24$

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Question 17

Factor the following trinomial completely. $x ^ { 2 } + 12 x + 32$

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Question 18

Factor the following trinomial completely. $x ^ { 2 } + 7 x y - 8 y ^ { 2 }$

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Question 19

Find three negative consecutive integers such that the product of the two smaller integers is 50 more than ten times the largest integer. Please enter your answer as three numbers, separated by a comma.

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Question 20

Factor the following trinomial assuming that all variables appearing as exponents represent positive integers. $x ^ { 2 a } + 7 x ^ { a } + 6$

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Quiz 7: Factoring, Solving Equations and Problem Solving

Solve the equation. n2−3n−40=0n ^ { 2 } - 3 n - 40 = 0n2−3n−40=0

The length of one leg of a right triangle is 14 centimeters more than the length of the other leg. The length of the hypotenuse is 26 centimeters. Find the lengths of the two legs. Please enter your answer as two numbers without the units, separated by a comma.

The perimeter of a rectangle is 34 centimeters and the area is 66 square centimeters. Find the length and width of the rectangle. Please enter your answer as two numbers without the units, separated by a comma.

One positive number is 5 larger than another number. The sum of their squares is 53. Find the numbers. Please enter your answer as two numbers, separated by a comma.

Suppose that one leg of a right triangle is 14 feet shorter than the other leg. The hypotenuse is 2 feet longer than the longer leg. Find the lengths of all three sides of the right triangle. Please enter your answer as three numbers without the units, separated by a comma.

Solve the equation. x(x−10)=−9x ( x - 10 ) = - 9x(x−10)=−9 Please enter your answer as two numbers, separated by a comma.

Solve the equation. m2+7m+10=0m ^ { 2 } + 7 m + 10 = 0m2+7m+10=0 If there is more than one solution, separate your answers with commas.

Suppose that the width of a certain rectangle is 6 inches less than its length. The area is numerically 9 less than twice the perimeter. Find the length and width of the rectangle. Please enter your answer as two numbers without the units, separated by a comma.

Solve the equation. x2+2x=24x ^ { 2 } + 2 x = 24x2+2x=24

Solve the equation. x2+10x+24=0x ^ { 2 } + 10 x + 24 = 0x2+10x+24=0 Please enter your answer as two numbers, separated by a comma.

Find two consecutive positive odd whole numbers whose product is 99. Please enter your answer as two numbers, separated by a comma.

Factor the following trinomial completely. y2−y−2y ^ { 2 } - y - 2y2−y−2

Solve the equation. −x2−6x+7=0- x ^ { 2 } - 6 x + 7 = 0−x2−6x+7=0 Please enter your answer as two numbers, separated by a comma.

Factor the following trinomial completely. x2+4x−5x ^ { 2 } + 4 x - 5x2+4x−5

Solve the equation. x2+25x+154x ^ { 2 } + 25 x + 154x2+25x+154 = 0 Please enter your answer as two numbers, separated by a comma.

Factor the following trinomial completely. x2−11x+24x ^ { 2 } - 11 x + 24x2−11x+24

Factor the following trinomial completely. x2+12x+32x ^ { 2 } + 12 x + 32x2+12x+32

Factor the following trinomial completely. x2+7xy−8y2x ^ { 2 } + 7 x y - 8 y ^ { 2 }x2+7xy−8y2

Find three negative consecutive integers such that the product of the two smaller integers is 50 more than ten times the largest integer. Please enter your answer as three numbers, separated by a comma.

Factor the following trinomial assuming that all variables appearing as exponents represent positive integers. x2a+7xa+6x ^ { 2 a } + 7 x ^ { a } + 6x2a+7xa+6

Solve the equation. $n ^ { 2 } - 3 n - 40 = 0$

Solve the equation. $x ( x - 10 ) = - 9$ Please enter your answer as two numbers, separated by a comma.

Solve the equation. $m ^ { 2 } + 7 m + 10 = 0$ If there is more than one solution, separate your answers with commas.

Solve the equation. $x ^ { 2 } + 2 x = 24$

Solve the equation. $x ^ { 2 } + 10 x + 24 = 0$ Please enter your answer as two numbers, separated by a comma.

Factor the following trinomial completely. $y ^ { 2 } - y - 2$

Solve the equation. $- x ^ { 2 } - 6 x + 7 = 0$ Please enter your answer as two numbers, separated by a comma.

Factor the following trinomial completely. $x ^ { 2 } + 4 x - 5$

Solve the equation. $x ^ { 2 } + 25 x + 154$ = 0 Please enter your answer as two numbers, separated by a comma.

Factor the following trinomial completely. $x ^ { 2 } - 11 x + 24$

Factor the following trinomial completely. $x ^ { 2 } + 12 x + 32$

Factor the following trinomial completely. $x ^ { 2 } + 7 x y - 8 y ^ { 2 }$

Factor the following trinomial assuming that all variables appearing as exponents represent positive integers. $x ^ { 2 a } + 7 x ^ { a } + 6$