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Find a Quadratic Equation with Rational Coefficients, One of Whose x2x ^ { 2 }

Question 3

Multiple Choice

Find a quadratic equation with rational coefficients, one of whose roots is the given number. Write your answer so that the coefficient of
x2x ^ { 2 } is 1. r1=1+2r _ { 1 } = 1 + \sqrt { 2 }


A) x23x1=0x ^ { 2 } - 3 x - 1 = 0
B) x22x8=0x ^ { 2 } - 2 x - 8 = 0
C) x22x1=0x ^ { 2 } - 2 x - 1 = 0
D) x22x9=0x ^ { 2 } - 2 x - 9 = 0
E) x22x3=0x ^ { 2 } - 2 x - 3 = 0

Correct Answer:

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