4x+11x*11x=22

Solution for 4x+11x*11x=22 equation:

4x+11x*11x=22

We move all terms to the left:

4x+11x*11x-(22)=0

Wy multiply elements

121x^2+4x-22=0

a = 121; b = 4; c = -22;
Δ = b2-4ac
Δ = 42-4·121·(-22)
Δ = 10664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{10664}=\sqrt{4*2666}=\sqrt{4}*\sqrt{2666}=2\sqrt{2666}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-2\sqrt{2666}}{2*121}=\frac{-4-2\sqrt{2666}}{242}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+2\sqrt{2666}}{2*121}=\frac{-4+2\sqrt{2666}}{242}
$