Answers Algebra Concepts and Connections Modeling and Analyzing Quadratic Functions: Quadratic Equations — TestQuestion 15

15

QuizMultiple Choice

Modeling and Analyzing Quadratic Functions: Quadratic Equations — Test

Question 15 • Algebra: Concepts and Connections

Solve x squared minus 8 x is equal to 3 by completing the square. Which is the solution set of the equation?

Answer

A

start set 4 minus square root of 8 comma 4 plus square root of 8 end set

B

start set 4 minus square root of 19 comma 4 plus square root of 19 end set

C

start set 4 minus square root of 11 comma 4 plus square root of 11 end set

D

start set 4 minus square root of 3 comma 4 plus square root of 3 end set

Explanation

Add 16 to both sides to complete the square: x² − 8x + 16 = 3 + 16. This gives (x − 4)² = 19, so x − 4 = ±√19 and x = 4 ± √19. The solution set is {4 − √19, 4 + √19}, choice D.

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