4
QuizMultiple Choice

Modeling with Quadratic Equations — Quiz

Question 4 • Mathematics II

The product of two numbers is 450 The first number is half the second number. Which equation can be used to find x , the greater number?

Answer
A
1 half x squared is equal to 450
B
225 x squared is equal to 0
C
450 x squared is equal to 0
D
x squared is equal to 450

Explanation

Let x be the greater number. Since the first number is half the second, the smaller number is x/2. Their product is x · (x/2) = 450, which simplifies to 1/2 x² = 450. So the equation is “one-half x squared equals 450.”

AI-written and checked against the verified answer.

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