5x*x=104

Solution for 5x*x=104 equation:

5x*x=104

We move all terms to the left:

5x*x-(104)=0

Wy multiply elements

5x^2-104=0

a = 5; b = 0; c = -104;
Δ = b2-4ac
Δ = 02-4·5·(-104)
Δ = 2080
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:

$\sqrt{\Delta}=\sqrt{2080}=\sqrt{16*130}=\sqrt{16}*\sqrt{130}=4\sqrt{130}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{130}}{2*5}=\frac{0-4\sqrt{130}}{10}
=-\frac{4\sqrt{130}}{10}
=-\frac{2\sqrt{130}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{130}}{2*5}=\frac{0+4\sqrt{130}}{10}
=\frac{4\sqrt{130}}{10}
=\frac{2\sqrt{130}}{5}
$