If the two roots of the quadratic equation ax2+ bx+c=0 are reciprocal to each other then the value of c will be
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Step-by-step explanation:
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it means that
{(-b-√[b^2-4ac])/2a} × {2a /(-b+√[b^2-4ac]) = 1
(-b-√[b^2-4ac])/(-b+√[b^2-4ac]) = 1
by rationalisation
-{(b+√[b^2-4ac])}^2/(b^2-b^2+4ac) = 1
{-2b^2+4ac-2b√[b^2-4ac] } / 4ac = 1
2b^2 = - 2b√[b^2-4ac]
b^2 = b^2 - 4ac
4ac = 0
c = 0
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