If α, β are the roots of the equation x^2 - 5x + 3 = 0, construct an equation with roots α/ β^2 and β/ α^2.
Help I'm having trouble with this q,i got -18/25 for the sum and 1/5 for product. But the answer is wrong. I think im calculating the product wrong when i multiply.
Can someone show the steps to do this please. Thanks!
Hello, Detanon!
I'll get you started . . .
are the roots of the equation
Construct an equation with roots and
The new equation will have:
. . x-coefficient: .
. . Constant term: .
We have: .
Cube [1]: .
. .
Square [2]: .
Hence: .
. . and we've found the x-coefficient . . .