Question

If Alpha minus beta and alpha and alpha + beta are the zeros of the polynomial polynomial is equals to x cube minus 12 x square + 39 X - 28 find the value of Alpha

Answer 1

(alpha-bita)$(alpha+bita) are zeros of p(x)=12x2+39x-28

alpha + bita =-b/a

-39/12

Now, (alpha+bita)(alpha-bita)=alpha sq. -bita sq.

-39/12