Ramiya is using the quadratic formula to solve a quadratic equation. Her equation is x is equal to the fraction with numerator negative 3 plus or minus square root of 3 squared minus 4 1 2 end root and denominator 2 times 1 after substituting the values of a , b , and c into the formula. Which is Ramiya’s quadratic equation? 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
0 is equal to x squared minus 3 x plus 2
B
0 is equal to 2 x squared minus 3 x plus 1
C
0 is equal to x squared plus 3 x plus 2
D
0 is equal to 2 x squared plus 3 x plus 1
Explanation
The quadratic formula uses the expression (−b ± √(b² − 4ac))/(2a). Ramiya’s substituted formula has −3 in the numerator, so b = 3, and 2 × 1 in the denominator, so a = 1. The discriminant shows c = 2, giving x² + 3x + 2 = 0, which is choice B.
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