Find the value of k where X2+kx=2x-9
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k = 8
Step-by-step explanation:
x2 + kx = 2x - 9
x2 + kx - 2x + 9 = 0
x2 + x ( k -2 ) + ( 3 ) 2 = 0
Above equation is in a2 + 2ab + b2 = 0 format, where a = x, b = 3
By equating curresponding terms,
2ab = x ( k - 2 )
2 ( x ) ( 3 ) = x ( k - 2 )
6x = kx - 2x
kx = 2x + 6x
kx = 8x
k = 8x/x
k = 8
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