Question

What are the roots of the polynomial f(x)=x^2+9x-70?

Answer 1

Roots of the polynomial are values of x when f(x)=0,so
to find the roots of the polynomial we need to solve the equation
x²+9x-70=0    , a=1, b=9,c=-70     

$x= \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a}$

$x= \frac{-9+/- \sqrt{81+4*1*70} }{2} = \frac{-9+/- \sqrt{361} }{2}= \frac{-9+/-19}{2} x_{1}=5, x_{2}=-14$