4b^2-44b=121

Solution for 4b^2-44b=121 equation:

4b^2-44b=121

We move all terms to the left:

4b^2-44b-(121)=0

a = 4; b = -44; c = -121;
Δ = b2-4ac
Δ = -442-4·4·(-121)
Δ = 3872
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3872}=\sqrt{1936*2}=\sqrt{1936}*\sqrt{2}=44\sqrt{2}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-44\sqrt{2}}{2*4}=\frac{44-44\sqrt{2}}{8}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+44\sqrt{2}}{2*4}=\frac{44+44\sqrt{2}}{8}
$