Which shows the correct substitution of the values a, b, and c from the equation 1=−2x+3x2+1 into the quadratic formula? 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 negative 2 plus or minus square root of negative 2 squared minus 4 3 1 end root and denominator 2 times 3
B
x is equal to the fraction with numerator negative 3 plus or minus square root of 3 squared minus 4 negative 2 0 end root and denominator 2 times negative 2
C
x is equal to the fraction with numerator negative negative 2 plus or minus square root of negative 2 squared minus 4 3 0 end root and denominator 2 times 3
D
x is equal to the fraction with numerator negative negative 2 plus or minus square root of negative 2 squared minus 4 3 2 end root and denominator 2 times 3
Explanation
First write the equation in standard form, ax² + bx + c = 0. Subtract 1 from both sides: 0 = 3x² − 2x, so a = 3, b = −2, and c = 0. Substituting those values gives the expression in choice C.
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