Which of the following is the quadratic equation with roots −4,6 ?
A
x2−2x+24=0
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B
x2+2x−24=0
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C
x2+2x+24=0
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D
x2−2x−24=0
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Solution
The correct option is Dx2−2x−24=0 Given roots are −4,6
Sum of the roots S=−4+6=2
Product of the roots P=−4×6=−24
Hence the required equation is : x2−Sx+P=0 x2−2x−24=0