Calculate the values of k for which the equation 4x²+4x+1+k(x+1)=0
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given 4x²+4x+1+k(x+1)
4x²+4x+1+kx+1
4x²+4x+kx+2
4x²+(4+k).x+2
given b²-4ac=0
(4+k)²-4×4×2=0
4²+2×4×k+k²-16=0
16+8k+k²-16=0
8k+k²=0
k(8+k)=0
k=0,k=-8
4x²+4x+1+kx+1
4x²+4x+kx+2
4x²+(4+k).x+2
given b²-4ac=0
(4+k)²-4×4×2=0
4²+2×4×k+k²-16=0
16+8k+k²-16=0
8k+k²=0
k(8+k)=0
k=0,k=-8
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