Question

How do you solve `f(x)=x^2-x`?

Answer 1

Solve the equation for `y = 0`

Explanation:

By "solving" a quadratic function, `f(x)=y`, we mean find the point of `x` where `y=0`.

We can factorize the equation to achieve this, `f(x) = x(x-1)`, Solving for 0 we get, `x(x-1) = 0`, now the only way that this expression could be 0 is if one if the terms or both are 0, since anything multiplied by 0 is 0. So either `x=0` or `x = 1`.