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Question
The coefficient of x in the equation x2+px+q=0, was wrongly written as 17 in place of 13 and the roots thus found to be −2 and −15. The roots of the correct equation is/are
The coefficient of x in the equation x2+px+q=0, was wrongly written as 17 in place of 13 and the roots thus found to be −2 and −15. The roots of the correct equation is/are
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Solution
The correct options are
A −10
B −3
The wrong equation is
x2+17x+q=0
As the roots of the this equation are −2,−15, sum and product of the roots is,
−2−15=−17−2×(−15)=30=q
So, the corrected equation is
x2+13x+30=0⇒(x+10)(x+3)=0∴x=−10,−3
A −10
B −3
The wrong equation is
x2+17x+q=0
As the roots of the this equation are −2,−15, sum and product of the roots is,
−2−15=−17−2×(−15)=30=q
So, the corrected equation is
x2+13x+30=0⇒(x+10)(x+3)=0∴x=−10,−3
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