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ing Test Paper-Class 10 (Code A)Two students while solving a quadratic equation in x, one copand got the roots as 3 and 2. The other copied the cons- 6' and '1' respectively. The correct roots arethe constant term incorrectlytant term and co-efficient of x? asx, one(A)3,-2(B)-3, 2(D) 6,-1 |
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Answer» The roots obtained by the first person are 3 and 2, so the equation solved by the first person is (x-3)(x-2)=0 that is x^2 -5x + 6 = 0.We know that only the constant term is wrong in the first person's case.So, the co-effecient of x square term is 1 and that of x term is -5.From the case of the second person, the correct constant term is -6. So, the equation is x^2-5x-6=0This can be written as x^2-6x+x-6=0; x(x-6) +1(x-6)= 0;That is (x-6)(x+1) = 0 which implies, x=6 or -1So, the roots of the equation are 6 and -1Answer is 6 and -1 |
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