55x*58x=791

Solution for 55x*58x=791 equation:

55x*58x=791

We move all terms to the left:

55x*58x-(791)=0

Wy multiply elements

3190x^2-791=0

a = 3190; b = 0; c = -791;
Δ = b2-4ac
Δ = 02-4·3190·(-791)
Δ = 10093160
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:

$\sqrt{\Delta}=\sqrt{10093160}=\sqrt{4*2523290}=\sqrt{4}*\sqrt{2523290}=2\sqrt{2523290}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{2523290}}{2*3190}=\frac{0-2\sqrt{2523290}}{6380}
=-\frac{2\sqrt{2523290}}{6380}
=-\frac{\sqrt{2523290}}{3190}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{2523290}}{2*3190}=\frac{0+2\sqrt{2523290}}{6380}
=\frac{2\sqrt{2523290}}{6380}
=\frac{\sqrt{2523290}}{3190}
$