(310-124)x2=372

Solution for (310-124)x2=372 equation:

(310-124)x2=372

We move all terms to the left:

(310-124)x2-(372)=0

We add all the numbers together, and all the variables

186x2-372=0

We add all the numbers together, and all the variables

186x^2-372=0

a = 186; b = 0; c = -372;
Δ = b2-4ac
Δ = 02-4·186·(-372)
Δ = 276768
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:

$\sqrt{\Delta}=\sqrt{276768}=\sqrt{138384*2}=\sqrt{138384}*\sqrt{2}=372\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-372\sqrt{2}}{2*186}=\frac{0-372\sqrt{2}}{372}
=-\frac{372\sqrt{2}}{372}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+372\sqrt{2}}{2*186}=\frac{0+372\sqrt{2}}{372}
=\frac{372\sqrt{2}}{372}
=\sqrt{2}
$