- #1

chwala

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## Homework Statement:

- if the roots of the equation ##x^2+bx+c=0## are ##∝, β## and the roots of the equation ##x^2+λbx+λ^2c=0## are ##δ, ϒ##show that the equation whose roots are ##∝ϒ+βδ## and ##∝δ+βϒ## is ##x^2-λb^2x+2λ^2c(b^2-2c)=0##

## Relevant Equations:

- quadratic equations; sum and roots

my original working, i would appreciate alternative methods...