Question

if one root is equal to the square of the other root of the equation x square + x - k = 0 , then find k​

Answer 1

Answer: Let one root be a, other root is a^2.

Sum of the roots = a + a^2 = - b/a = -1.

So a^2 = -1-a

Product of the roots = a^3 = -k or a(-1-a) = -k.

i.e., -a-a^2 = -k or -a-(-1-a) = -k or k = - 1.

Step-by-step explanation: