the coefficient of x and n the quadratic equations x2+px+q=0 was taken as 17 in place of 13 ,its roots were found to be -2 and -15 . find the roots of the original equation.
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The coefficient of x in the quadratic equation x
2
+px+q=0 was taken as 17 in place of 13, its roots were found to be -2 and -15.
Here, Products of the roots = q=2×15=30
correct value of p=13
Then, quadratic equation becomes,
x^2 +13x+30=0
=>(x+10)(x+3)=0
=>x=−10,−3
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