if the quadratic equation x^2-4x+k has equal roots ,then find k
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if the quadratic equation x^2-4x+k has equal roots ,then find k
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Answer:
f(x)=x^2-4x+k
If f(x)has equal roots,then b^2 -4ac=0.
a=1,b=-4,c=k
b^2-4ac=0
(-4)^2-4×1×k=0
16-4k=0
-4k=-16
k=4
So,the value of k is 4.
Hope it helps you.