find k ,if x²+xk+k=0 ,and the roots are real and equal
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Answer:
4
Step-by-step explanation:
Comparing x²+xk+k=0 with ax²+bx+c=0
we get
a=1
b=k
c=k
Discriminant =b²-4ac
but; the roots are real and equal
therefore,
b²-4ac=0
k²-4×1×k =0
k²-4k=0
k²=4k
k²/k= 4
k=4
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