Question

find the value of k for quadratic equation so that they have two equal roots 4 x square minus kx + 1 is equals to zero​

Answer 1

Answer:

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Answer 2

Answer:

4

Step-by-step explanation:

given equation is 4x^2-kx+1;a=4, b=-k, c=1.

given condition is alpha=beta

we know that alpha+beta=-b/a, alpha×beta=c/a

but we know alpha =beta therefore

2alpha=-b/a, alpha=-b/2a,

alpha^2=c/a=1/4 therefore alpha =1/2.

therefore -b/2a=1/2

-b/8=1/2

-b=1/2×8

-b=4

b=-4.

we know b=-k

-4=-k

therefore k=4.

I hope you are satisfied by my answer.