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If 4x2+5kx+10 is a perfect square, find the value...

If 4x2+5kx+10 is a perfect square, find the value of k

A.

5104

B.

410

C.

510

D.

4105

Correct answer is D

4x2+5kx+10=(2x+10)2

Expanding the right hand side equation, we have

4x2+4x10+10

Comparing with the left hand side, we have

5k=410k=4510