# For what value of k are the roots of the quadratic equation kx2 – 2 (k + 2) x + (k + 5) = 0 real and equal ?

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by munnati22

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by munnati22

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D should be zero

D=0

b²-4ac=0

(-2(k+2))²-4(k)(k+5)=0

4(k+2)²-4k²-20k=0

4k²+16+16k-4k²-20k=0

4k=16

k=4

Hope it helped you!! :)