Find the condition that one root of the quadratic equation may be 1 more than the other.

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bkabaso bkabaso

16-07-2017
Mathematics

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Find the condition that one root of the quadratic equation may be 1 more than the other.

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zrh2sfo zrh2sfo · Answer 1 · 2017-07-16T09:05:32+02:00

zrh2sfo zrh2sfo

16-07-2017

Let p, np be the roots of the given QE.So p+np = -b/a, and np^2 = c/aOr (n+1)p = -b/a or p = -b/a(n+1)So n[-b/a(n+1)]2 = c/aor nb2/a(n+1)2 = cor nb2 = ac(n+1)2
Which will give can^2 + (2ac-b^2)n + ac = 0, which is the required condition.

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