10
QuizMultiple Choice

Solving Quadratic Equations: Square Root Property — Quiz

Question 10 • Algebra I

What are the solutions to the quadratic equation 3 times open paren x minus 4 close paren squared is equal to 75 ?

Answer
A
x is equal to negative 9 and x is equal to 1
B
x is equal to negative 1 and x is equal to 9
C
x is equal to negative 4 and x is equal to 4
D
x is equal to negative 5 and x is equal to 5

Explanation

Divide both sides of 3(x − 4)² = 75 by 3 to get (x − 4)² = 25. Taking the square root gives x − 4 = 5 or x − 4 = −5, so x = 9 or x = −1. Therefore, the solutions are negative 1 and 9, choice B.

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