1.

Find the values of k for roots are real and equal in equation:2kx2 – 40x + 25 = 0

Answer»

The given equation 2kx2 – 40x + 25 = 0 is in the form of ax2 + bx + c = 0

Where a = 2k, b = -40, c = 25

For the equation to have real and equal roots, the condition is

D = b2 – 4ac = 0

⇒ (-40)2 – 4(2k)(25) = 0

⇒ 1600 – 200k = 0

⇒ k = 8

The value of k is 8.



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