1.

Find the value of k for which the roots are real and equal in the following equation:Kx2 – 2√5x + 4 = 0 1. 5/42. √53. 2√34. 4/5

Answer» Correct Answer - Option 1 : 5/4

Given:

Kx2 – 2√5x + 4 = 0

Concept used:

If the roots of the equation ax2 + bx + c = 0 are real and equal,

Then b2 – 4ac = 0

Calculation:

Kx2 – 2√5x + 4 = 0

If roots are real and equal, then

b2 – 4ac = 0

⇒ (-2√5)2 – 4 × k × 4 = 0

⇒ 20 – 16k = 0

⇒ 16k = 20

⇒ k = 5/4

The value of k is 5/4.



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