Question

if the roots of the quadratic equation are x²+bx+k=0 are equal then the value of k is​

Answer 1

$k = \frac{ {b}^{2} }{4}$

Step-by-step explanation:

Comparing x²+bx+k=0 with ax²+bx+c=0, we get a=1 , b=b and c=k.

We know that, for equal roots discriminant D=0, i.e., b²-4ac=0

So, b²-4 X 1 X k = 0

b² - 4k = 0

b²=4k

Therefore,

$k = \frac{ {b}^{2} }{4}$

I hope it helps you.

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