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Question

Two candidates attempt to solve a quadratic equation of the ax2+bx+c=0 One starts with a wrong value of b and find the roots to be 2 and 6. The other starts with the wrong values of c and find the roots to be +2,9. The correct roots of the equation are

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Solution

a and c are true so that product of the roots are 2×6 i.e. 12 Again a and b are true so the sum of the roots is -7
The roots are -3 and -4

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