Question

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Answer 1

Step-by-step explanation:

Quadratic equation:

5x2 −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 ax2 +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

∴4k2 -400=0

∴k2 =100

∴k=±10

Thus, k=10 or −10.

(or)

5x2 −2kx+20=0

For equal roots, D=0

D=4k2 −4(20)(5)=0

⇒k2 −100=0

⇒(k+10)(k−10)=0

⇒k=10,−10