10x^2=340

Solution for 10x^2=340 equation:

10x^2=340

We move all terms to the left:

10x^2-(340)=0

a = 10; b = 0; c = -340;
Δ = b2-4ac
Δ = 02-4·10·(-340)
Δ = 13600
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:

$\sqrt{\Delta}=\sqrt{13600}=\sqrt{400*34}=\sqrt{400}*\sqrt{34}=20\sqrt{34}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{34}}{2*10}=\frac{0-20\sqrt{34}}{20}
=-\frac{20\sqrt{34}}{20}
=-\sqrt{34}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{34}}{2*10}=\frac{0+20\sqrt{34}}{20}
=\frac{20\sqrt{34}}{20}
=\sqrt{34}
$