Two candidates attempt to solved a quadratic equation of from x 2 + px + q = 0. One starts with a wrong value of p and finds the roots to be 2 and 6. Other starts with a wrong value of q and find the root to be 2 and -9. Find the correct roots and e…

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When p is wrong i.e., -b/a = (α + β) is wrong but c/a =(αβ) is correct. Then αβ = c/a = 2 x 6 = 12 ....(i) Again, when q is wrong i.e.,c/a = (α.β ) is wrong but -b/a = α+β is correct. Then, -b/a = α+β= 2 + (-9) = -7 So, the requir…

Two candidates attempt to solved a quadratic equation of from x 2 + px + q = 0. One starts with a wrong value of p and finds the roots to be 2 and 6. Other starts with a wrong value of q and find the root to be 2 and -9. Find the correct roots and equation?

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