11
QuizMultiple Choice

Modeling and Analyzing Quadratic Functions: Quadratic Equations — Test

Question 11 • Algebra: Concepts and Connections

The sum of a number and its square is 42 Which equation can be used to find the two numbers for which this is true?

Answer
A
x squared plus 2 x is equal to 42
B
x squared plus 2 x plus 42 is equal to 0
C
x squared plus x plus 42 is equal to 0
D
x squared plus x is equal to 42

Explanation

Let the number be x. Its square is x², so their sum is x + x²; setting this equal to 42 gives x² + x = 42. This matches choice D, “x squared plus x is equal to 42.”

AI-written and checked against the verified answer.

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