If one root of the equation x^2 - 2x - k is square that of other find the other root . Find the value of K.
+114325 The sum of the roots = a + a^2 = 2
So rearranging , we have
a^2 + a - 2 = 0 factor
(a + 2) ( a - 1) = 0
Setting each factor to 0 and solving for a produces a = -2 or a = 1
So a^2 = 4 or a^2 = 1
And the product of the roots = -k
So....the roots must be - 2 , 4 and - k = -8
So k = 8
