21
QuizMultiple Choice

Modeling and Analyzing Quadratic Functions: Quadratic Equations — Test

Question 21 • Algebra: Concepts and Connections

What are the solutions of the quadratic equation open paren x plus 3 close paren squared is equal to 49 ?

Answer
A
x is equal to negative 2 and x is equal to negative 16
B
x is equal to 2 and x is equal to square root of negative 10
C
x is equal to 4 and x is equal to negative 10
D
x is equal to 40 and x is equal to negative 58

Explanation

Take the square root of both sides: x + 3 = 7 or x + 3 = −7. Subtract 3 in each case to get x = 4 or x = −10. Therefore, the solutions are 4 and −10, choice C.

AI-written and checked against the verified answer.

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