Question

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Answer 1

Quadratic equation:

5x

2

−2kx+20=0

It is given that the roots of the quadratic equation are real and equal, Then discriminant D=0.

Comparing the given equation with ax

2

+bx+c=0

we have a=5,b=−2k and c=20

Now, D=0

∴b

2

−4ac=0

∴(−2k)

2

−4(5)(20)=0

∴4k

2

−400=0

∴k

2

=100

∴k=±10

Thus, k=10 or −10.

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