If - 4 is a root equation x^2+px-4=0 and the quadratic equation x^2+px+k=0 has equal roots. Find K
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k=-4
Explanation:
putting the root in equation
(-4) ^2+p(-4)-4=0
16+-4p-4=0
-4p=-12
p = 12/4
p=3
hence p=3,
therefore, x^2+3x+k will form
Again putting the value of root in the equation
(-4) ^2+3(-4) +k=0
16-12+k=0
k=-4
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