95=7x+x2

Solution for 95=7x+x2 equation:

95=7x+x2

We move all terms to the left:

95-(7x+x2)=0

We add all the numbers together, and all the variables

-(+7x+x^2)+95=0

We get rid of parentheses

-x^2-7x+95=0

We add all the numbers together, and all the variables

-1x^2-7x+95=0

a = -1; b = -7; c = +95;
Δ = b2-4ac
Δ = -72-4·(-1)·95
Δ = 429
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{429}}{2*-1}=\frac{7-\sqrt{429}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{429}}{2*-1}=\frac{7+\sqrt{429}}{-2}
$