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8. Sachin and Rahul attempted to solve a quadratic equation. Sachin made a mistake in writing down the constant term and ended up in roots (4,3). Rahul made a mistake in writing down coefficient of x to get roots (3, 2). The correct roots of equation are:A. `-4,-3`B. `6,1`C. `4,3`D. `-6,-1` |
Answer» Correct Answer - B Let the quadratic equation be `ax^(2)+bx+c=0` Sachin made a mistake in writing down constant term. `:.` Sum of the roots is correct. i.e. `alpha +beta=7` Rahul made a mistake in writing down coefficient of `x`. `:.` Product of the roots is correct. i.e. `alpha beta=6` `implies` Correct quadratic equation is `x^(2)-(alpha+beta)x+alpha beta=0` `impliesx^(2)-7x+6=0` `implies(x-6)(x-1)=0impliesx=6,1` Hence correct roots are 1 and 6. |
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