4x+25+11x-2=x2

Solution for 4x+25+11x-2=x2 equation:

4x+25+11x-2=x2

We move all terms to the left:

4x+25+11x-2-(x2)=0

We add all the numbers together, and all the variables

-1x^2+15x+23=0

a = -1; b = 15; c = +23;
Δ = b2-4ac
Δ = 152-4·(-1)·23
Δ = 317
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{-(15)-\sqrt{317}}{2*-1}=\frac{-15-\sqrt{317}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{317}}{2*-1}=\frac{-15+\sqrt{317}}{-2}
$