X^2=-17x-70

Solution for X^2=-17x-70 equation:

X^2=-17X-70

We move all terms to the left:

X^2-(-17X-70)=0

We get rid of parentheses

X^2+17X+70=0

a = 1; b = 17; c = +70;
Δ = b2-4ac
Δ = 172-4·1·70
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-3}{2*1}=\frac{-20}{2}
=-10
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+3}{2*1}=\frac{-14}{2}
=-7
$