18x^2=5

Solution for 18x^2=5 equation:

18x^2=5

We move all terms to the left:

18x^2-(5)=0

a = 18; b = 0; c = -5;
Δ = b2-4ac
Δ = 02-4·18·(-5)
Δ = 360
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:

$\sqrt{\Delta}=\sqrt{360}=\sqrt{36*10}=\sqrt{36}*\sqrt{10}=6\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{10}}{2*18}=\frac{0-6\sqrt{10}}{36}
=-\frac{6\sqrt{10}}{36}
=-\frac{\sqrt{10}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{10}}{2*18}=\frac{0+6\sqrt{10}}{36}
=\frac{6\sqrt{10}}{36}
=\frac{\sqrt{10}}{6}
$