x*x+15x-95=0

Solution for x*x+15x-95=0 equation:

x*x+15x-95=0

We add all the numbers together, and all the variables

15x+x*x-95=0

Wy multiply elements

x^2+15x-95=0

a = 1; b = 15; c = -95;
Δ = b2-4ac
Δ = 152-4·1·(-95)
Δ = 605
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{605}=\sqrt{121*5}=\sqrt{121}*\sqrt{5}=11\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-11\sqrt{5}}{2*1}=\frac{-15-11\sqrt{5}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+11\sqrt{5}}{2*1}=\frac{-15+11\sqrt{5}}{2}
$