5x^2=10^10

Solution for 5x^2=10^10 equation:

5x^2=10^10

We move all terms to the left:

5x^2-(10^10)=0

We add all the numbers together, and all the variables

5x^2-10000000000=0

a = 5; b = 0; c = -10000000000;
Δ = b2-4ac
Δ = 02-4·5·(-10000000000)
Δ = 200000000000
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:

$\sqrt{\Delta}=\sqrt{200000000000}=\sqrt{40000000000*5}=\sqrt{40000000000}*\sqrt{5}=200000\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200000\sqrt{5}}{2*5}=\frac{0-200000\sqrt{5}}{10}
=-\frac{200000\sqrt{5}}{10}
=-20000\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200000\sqrt{5}}{2*5}=\frac{0+200000\sqrt{5}}{10}
=\frac{200000\sqrt{5}}{10}
=20000\sqrt{5}
$