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If -5 is a root of the quadratic equation 2x2+px-15=0 and the quadratic equation p(x2+x)+k=0 has equal roots, find the value of k. |
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Answer» <P>Given equation px(x-3) + 9 = 0 px^2 - 3px + 9 = 0 As ROOTS are equal then determinant D should be equal to 0. We know, D = b^2 - 4ac Then, (-3p)^2 - 4*p*9 = 0 9p^2 - 36p = 0 p(p - 4) = 0 p = 0, 4 0 VALUE not possible Therefore value of p = 4 |
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