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15. If (x + a) be a common zero of x2 + px + q andx2 + Ix + m, then the value of a ism+qm-9m+9m-9-) I+ DDI-P2) 1 + P3) 1 + p4) 1-0 |
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Answer» (-a)² + p·(-a) + q = 0 --> a² -ap + q = 0(-a)² + l·(-a) + m= 0 --> a² -al + m = 0Since they both equal 0, you can set them equal to each other:a² -ap + q = a² -al + m-ap + q + -al + mal - ap = m-qa(l-p) = m-qa=m-q/l-p |
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