FP1 Help! Roots of Quad Eqns Watch
(Say alpha is a and beta is b)
I know how to work out (a^4)(b^4)
But how do you work out a^4 + b^4?
I know that a^2 + b^2 => (a+b)^2 - 2ab
But can somebody tell me what the solution is to the power of 4. The exam is on Monday and this is something I need to know!
you need to use the fact that, a^2 + b^2 = (a + b)^2 - 2ab
a = , b =
Notice how I put all the (a+b) and (ab) in brackets? I did that to highlight the main point here:
The key to any of these questions is to rearrange the equation in terms of the sum of the roots, and the product of the roots (and with more complex problems, such as cubics and quartics, you also use the sum of the roots in pairs etc.)