(x)=4x^2-44x+121

Solution for (x)=4x^2-44x+121 equation:

(x)=4x^2-44x+121

We move all terms to the left:

(x)-(4x^2-44x+121)=0

We get rid of parentheses

-4x^2+x+44x-121=0

We add all the numbers together, and all the variables

-4x^2+45x-121=0

a = -4; b = 45; c = -121;
Δ = b2-4ac
Δ = 452-4·(-4)·(-121)
Δ = 89
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{-(45)-\sqrt{89}}{2*-4}=\frac{-45-\sqrt{89}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45)+\sqrt{89}}{2*-4}=\frac{-45+\sqrt{89}}{-8}
$