38x2=286

Solution for 38x2=286 equation:

38x^2=286

We move all terms to the left:

38x^2-(286)=0

a = 38; b = 0; c = -286;
Δ = b2-4ac
Δ = 02-4·38·(-286)
Δ = 43472
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:

$\sqrt{\Delta}=\sqrt{43472}=\sqrt{16*2717}=\sqrt{16}*\sqrt{2717}=4\sqrt{2717}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{2717}}{2*38}=\frac{0-4\sqrt{2717}}{76}
=-\frac{4\sqrt{2717}}{76}
=-\frac{\sqrt{2717}}{19}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{2717}}{2*38}=\frac{0+4\sqrt{2717}}{76}
=\frac{4\sqrt{2717}}{76}
=\frac{\sqrt{2717}}{19}
$