If one root of xsqare-x-k=0 may be the square of the other root, then k=
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The value of k is
1) The given equation is x^2 - x - k = 0.
2) a= 1, b = -1, c= -k for the given equation.
3) Let one root be z, then other root would be z^2.
4) Using quadratic formula, D = b^2 - 4ac = 1+4k.
5) z=(1+ )/2 and z^2 = (1-)/2.
6) Solving these two equations in two variables k and z gives value of k as 2 - or -0.23.
7) The roots of the equation would be and
Explanation:
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