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If one root of the quadratic equation x^2-6x+k=0 is the square of the other root , find the value of k

If one root of the quadratic equation x^2-6x+k=0 is the square of the other root , find the value of k

Grade:11

1 Answers

Mathematics Expert - askIITians
askIITians Faculty 44 Points
6 years ago
Given equation

Compare the above equation with

Let roots of the equations are x1 and x2 , then
(Given)

From the quadratic equation,

And

Let

Therefore

Thus, possible values of k are 8 and -27.

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