Question

If alpha and beta are the zeros of the polynomial f( x) is = x square - 5 x +k show that Alpha - beta is = 1 find the value of k

Answer 1

For polynomial f(x)=ax2+bx+cf(x)=ax2+bx+c 
∙∙ sum of roots =−ba=−ba 
∙∙ product of roots =ca=ca

f(x)=x2−5x+kf(x)=x2−5x+k

α+β=5α+β=5 
α−β=1α−β=1

2α=6→α=3,β=22α=6→α=3,β=2

k=αβ=6

Answer 2

Above answer is correct