67x2=134

Solution for 67x2=134 equation:

67x^2=134

We move all terms to the left:

67x^2-(134)=0

a = 67; b = 0; c = -134;
Δ = b2-4ac
Δ = 02-4·67·(-134)
Δ = 35912
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:

$\sqrt{\Delta}=\sqrt{35912}=\sqrt{17956*2}=\sqrt{17956}*\sqrt{2}=134\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-134\sqrt{2}}{2*67}=\frac{0-134\sqrt{2}}{134}
=-\frac{134\sqrt{2}}{134}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+134\sqrt{2}}{2*67}=\frac{0+134\sqrt{2}}{134}
=\frac{134\sqrt{2}}{134}
=\sqrt{2}
$