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Question
If the coefficient of x in the quadratic equation x2+px+q=0 was taken as 17 in place of 13, then its roots were found to be −2 and −15.
The roots of the original equation are
If the coefficient of x in the quadratic equation x2+px+q=0 was taken as 17 in place of 13, then its roots were found to be −2 and −15.
The roots of the original equation are
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Solution
The correct option is D −3,−10
given α+B=−17.
αB=(−15)(−2)=30
but actual α+B=−13
⇒ actual equation is x2+13x+30=0
∴ roots are -3,-10
given α+B=−17.
αB=(−15)(−2)=30
but actual α+B=−13
⇒ actual equation is x2+13x+30=0
∴ roots are -3,-10
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