Solving Quadratic Equations: Quadratic Formula — Quiz
Question 2 • Algebra: Concepts and Connections
Nathaniel is using the quadratic formula to solve 0 is equal to x squared plus 5 x minus 6 Step 1: Gather necessary information. 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 ; a is equal to 1 , b is equal to 5 ; c is equal to negative 6 Step 2: Substitute. x is equal to the fraction with numerator negative 5 plus or minus square root of 5 squared minus 4 1 negative 6 end root and denominator 2 times 1 Step 3: Simplify. x is equal to the fraction with numerator negative 5 plus or minus square root of 49 and denominator 2 What are the solutions to the equation?
Answer
A
x is equal to negative 27 comma 22
B
x is equal to negative 6 comma 1
C
x is equal to negative 1 comma 6
D
x is equal to negative 22 comma 27
Explanation
From the simplified quadratic formula, x = (−5 ± √49)/2 = (−5 ± 7)/2. Using the plus sign gives x = 2/2 = 1; using the minus sign gives x = −12/2 = −6. The solutions are −6 and 1, choice B.
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