If -4 is a root of the quadratic equation x2+px-4=0 and the quadratic equation x2+px+k=0 has equal roots, find the value of k.
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Step-by-step explanation:
x2 + px -4=0
(-4)^2 + p(-4) - 4=0
16 -4p -4 = 0
12-4p=0
12=4p
p=3
x2 + px + k=0
(-4)^2 + (3)(-4) + k=0
16-12+k=0
4 + k=0
k= -4
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