Modeling and Analyzing Quadratic Functions: Quadratic Equations — Test
Question 18 • Algebra: Concepts and Connections
What are the zeros of the function f of x is equal to x squared plus 5 x plus 5 written in simplest radical form? Quadratic formula: x is equal to the fraction with numerator negative b plus or minus square root of b squared minus 4 A c end root and denominator 2 A
Answer
A
x is equal to the fraction with numerator negative 5 plus or minus 10 square root of 5 and denominator 2
B
x is equal to the fraction with numerator 5 plus or minus square root of 5 and denominator 2
C
x is equal to the fraction with numerator negative 5 plus or minus square root of 5 and denominator 2
D
x is equal to the fraction with numerator 5 plus or minus 10 square root of 5 and denominator 2
Explanation
For x² + 5x + 5 = 0, the coefficients are a = 1, b = 5, and c = 5. The quadratic formula gives x = (−5 ± √(5² − 4·1·5))/2 = (−5 ± √5)/2. These are the zeros shown in choice D.
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