Given that one root of the quadratic equation ax2+bx + c =0 is three t – InterviewSolution

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1.

Given that one root of the quadratic equation ax2+bx + c =0 is three times theother, show that 3b2= 16ac

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Solution

Let one root be x, then other root will be 3xx+3x=-b/a ---- 4x=-b/a (i)x*3x=c/a ---- 3x²=c/a (ii)Substituting x form (i) into (ii)solve3b²=16ac

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