Question

if alpha plus beta is equal to 5 and Alpha Cube + beta cube is equal to 35 find the quadratic equation whose roots are alpha and beta

Answer 1

$hi \: mate \\ \\ required \: quadratic \: equation \: in \: x \: is \: given \: by \\ \\ x {}^{2} - ( \alpha + \beta )x + \alpha \beta = 0 \\ \\ \alpha {}^{3 } + \beta {}^{3} = ( \alpha + \beta ) {}^{3} - 3 \alpha \beta ( \alpha + \beta ) \\ \\ (35 -125) \div 5 \: = - 3 \alpha \beta \\ \\ \alpha \beta = 6 \\ \\ so \:quadratic \: equation \: is \: \\ x {}^{2} - 5x + 6 = 0 \\ \\ have \: a \: nyc \: tym$

Answer 2

Ur Ans is in the above attachment.