# What am I missing?

### What am I missing?

Given
ax^2 + bx + c =0 has roots $$\alpha,\beta$$ ,
Also $$\alpha=\beta^2$$
Prove c(a-b)^3 = a(c-b)^3

Using the sum and difference of roots (?) seems to hit a brick wall.

Any help, years since I did anything like this.
Guest

### Re: What am I missing?

Sorry, it's guest again.

I should have written sum and product of roots!
I said it has been some time.
Guest

### Re: What am I missing?

Did you try using Vieta's formulas?
What happens when you remove the parentheses could you write, please?
Guest