If a and b are the roots of the quadratic equation x²+px+12=0 with the condition a-b=1, then what is the value of p?
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x²+ px + 12 = 0
so let the roots be 1 d and 3 d
We know that sum of the roots = -b/a
and product of the roots = c/a
1d+3d = - p / 1
1d * 3d = 12
= 12
d = 2
So substituting, 1(2) + 3 (2) = - p
2+6 = - p
p = - 8 or +8 (since root can be both positive and negative)
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