8
AssignmentMultiple Choice

The Quadratic Formula

Question 8 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

32x - 4 = 4x2 + 60For the equation shown, choose the description of the solutions.

Answer
A
One real, rational
B
Two real, rational
C
Two real, irrational
D
Two complex

Explanation

Interpret 4x2 as 4x². Rearranging gives 4x² − 32x + 64 = 0, which factors as 4(x − 4)² = 0. The equation has the single solution x = 4, which is real and rational, so the correct description is “One real, rational.”

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