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I which of the following in the value of k, one
root of the quadratic equation.x2+kx-8=0is -4
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Answer:
Given kne root of the Q.E is -4 then,
(-4)²+k(-4)-8 = 0
16-4k-8 = 0
4k = 8
k = 2
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Step-by-step explanation:
let the other root be x
x^2-(sum of roots)x+product of roots=0
x^2-(-k)x-8=0
in comparing
-4*x=-8
x=2
-k=-4+2=-2
k=2
x^2+2x-8=0
x^2+4x-2x-8=0
x(x+4)-2(x+4)=0
(x+4)(x-2)=0
x=-4,2
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