find the value of k for which x= -2 is a root of the quadratic equation kx2+x-6=0
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p(x) = kx² + x - 6 = 0.
We want -2 to be a factor.
So x = -2.
Put this value.
Thus we get,
k(2)² + 2 - 6 = 0.
= 4k = 4.
= k = 4/4
= k = 1.
So the value of k for which x= -2 is a root of the quadratic equation kx² + x - 6 = 0 is 1.
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