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Which of the following quadratic equations has \(-\frac{1}{2...

Which of the following quadratic equations has 12 and 34 as its roots?

A.

8x2 + 11x - 3 = 0

B.

8x2 -11x – 3 = 0

C.

8x2 + 2x -3 = 0

D.

8x2 - 2x – 3 = 0

Correct answer is D

X2 - (sum of the roots)x + (product of the roots) = 0
Sum of the roots =12+34=2+32=14
Product of the roots = 12×34=38X2(14)x38=0.Takingthecommon
8x22x3=0;