The quadratic equation x kx2 2 02 + + = has equal roots, if the value of k is
Question
The quadratic equation x kx2 2 02 + + = has equal roots, if the value of k is
Solution
The question seems to be incomplete. However, I can tell you that for a quadratic equation of the form ax^2 + bx + c = 0 to have equal roots, the discriminant (b^2 - 4ac) must be equal to zero.
If your equation is kx^2 + 2x + 2 = 0, then a=k, b=2, and c=2.
Setting the discriminant equal to zero gives:
(2)^2 - 4k2 = 0 4 - 8k = 0 8k = 4 k = 4/8 = 0.5
So, the value of k for which the equation has equal roots is 0.5.
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