IF -4 is a root of the quadratic equation x^2 + kx - 4 = 0 and the quadratic equation x^2 + kx + p = 0 has equal roots, find the value of p.
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Step-by-step explanation:
putting x=-4 in first equation
(-4)^2+k(-4)-4=0
16-4k-4=0
12-4k=0
4k=12
k=12/4=3
k=3
putting x=-4 and k=3 in second equation
(-4)^2+3×(-4)+p=0
16-12+p=0
4+p=0
p=-4
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