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Two students while solving a quadratic equation in $x$ , one copied the constant term incorrectly and got the roots 3 and 2. The other copied the constant term and coefficient of $x^{2} as - 6$ and 1 respectively. The correct roots are

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$6, - 1$

$- 6, - 1$

$3, - 2$

$- 3, 2$

answer is D.

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Detailed Solution

$\begin{array}{l} 3, 2 \Rightarrow x^{2} - 5 x + 6 = 0 \\ x^{2} - 5 x - 6 = 0 \\ x^{2} - 6 x + x - 6 = 0 \\ x (x - 6) + 1 (x - 6) = 0 \\ (x - 6) (x + 1) = 0 \\ x = 6, - 1 \end{array}$

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