34x2=68

Solution for 34x2=68 equation:

34x^2=68

We move all terms to the left:

34x^2-(68)=0

a = 34; b = 0; c = -68;
Δ = b2-4ac
Δ = 02-4·34·(-68)
Δ = 9248
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:

$\sqrt{\Delta}=\sqrt{9248}=\sqrt{4624*2}=\sqrt{4624}*\sqrt{2}=68\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-68\sqrt{2}}{2*34}=\frac{0-68\sqrt{2}}{68}
=-\frac{68\sqrt{2}}{68}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+68\sqrt{2}}{2*34}=\frac{0+68\sqrt{2}}{68}
=\frac{68\sqrt{2}}{68}
=\sqrt{2}
$