(x^2)-15x-700=0

Solution for (x^2)-15x-700=0 equation:

(x^2)-15x-700=0

a = 1; b = -15; c = -700;
Δ = b2-4ac
Δ = -152-4·1·(-700)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-55}{2*1}=\frac{-40}{2}
=-20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+55}{2*1}=\frac{70}{2}
=35
$