Solve using the square root property of equality. Write answers in exact form. If there are no real solutions, so state. (x + 5)² = 3 D) no real solutions

Question

Quizplus · Accepted Answer

Starting with the given equation:

(x + 5)√(1 + √12)√(1 - √12) = 3

Using the square root property of equality, we can isolate x:

(x + 5)√(1 + √12)√(1 - √12) = 3

x + 5 = 3/√(1 + √12)√(1 - √12)

x + 5 = 3/√(1 - 12)

x + 5 = 3/√(-11)

Since the square root of a negative number is not a real number, there are no real solutions to this equation.

Therefore, the answer is (D) no real solutions.

Solve Using the Square Root Property of Equality