4x-25+11x-25=x^2

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

4x-25+11x-25=x^2

We move all terms to the left:

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

determiningTheFunctionDomain
-x^2+4x+11x-25-25=0

We add all the numbers together, and all the variables

-1x^2+15x-50=0

a = -1; b = 15; c = -50;
Δ = b2-4ac
Δ = 152-4·(-1)·(-50)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-5}{2*-1}=\frac{-20}{-2}
=+10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+5}{2*-1}=\frac{-10}{-2}
=+5
$