Q.

The coefficient of x in the equation x2 + px + q = 0 was taken as17 in place of 13, its roots were found to be -2 and -15. The roots of the original equation are

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a

3, 10

b

-3, -10

c

-  5  ,     -  18

d

None of these

answer is B.

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Detailed Solution

Let the equation (in correctly written form) be x2 + 17x + q = 0 . Roots are -2, -15. So 30=q, so correct equation is x2 + 13x + 30 = 0. Hence roots are -3, -10.
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The coefficient of x in the equation x2 + px + q = 0 was taken as17 in place of 13, its roots were found to be -2 and -15. The roots of the original equation are