(x*x)+10x=95.97

Solution for (x*x)+10x=95.97 equation:

(x*x)+10x=95.97

We move all terms to the left:

(x*x)+10x-(95.97)=0

We add all the numbers together, and all the variables

(+x*x)+10x-(95.97)=0

We add all the numbers together, and all the variables

10x+(+x*x)-95.97=0

We get rid of parentheses

10x+x*x-95.97=0

Wy multiply elements

x^2+10x-95.97=0

a = 1; b = 10; c = -95.97;
Δ = b2-4ac
Δ = 102-4·1·(-95.97)
Δ = 483.88
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{-(10)-\sqrt{483.88}}{2*1}=\frac{-10-\sqrt{483.88}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+\sqrt{483.88}}{2*1}=\frac{-10+\sqrt{483.88}}{2}
$