Question

If one root of the equation x2+7x +m =0exceeds the other by unity . then find m.

Answer 1

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Step-by-step explanation: let a and b be the roots of x^2 - 8x + m and let b = a + 4. then,

a + (a + 4) = 8 and a(a + 4) = m

then

2a = 4 and a(a + 4) = m

then

a = 2 and m = 2(2 + 4) = 2 × 6 = 12.