708x^2+108=143

Solution for 708x^2+108=143 equation:

708x^2+108=143

We move all terms to the left:

708x^2+108-(143)=0

We add all the numbers together, and all the variables

708x^2-35=0

a = 708; b = 0; c = -35;
Δ = b2-4ac
Δ = 02-4·708·(-35)
Δ = 99120
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:

$\sqrt{\Delta}=\sqrt{99120}=\sqrt{16*6195}=\sqrt{16}*\sqrt{6195}=4\sqrt{6195}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{6195}}{2*708}=\frac{0-4\sqrt{6195}}{1416}
=-\frac{4\sqrt{6195}}{1416}
=-\frac{\sqrt{6195}}{354}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{6195}}{2*708}=\frac{0+4\sqrt{6195}}{1416}
=\frac{4\sqrt{6195}}{1416}
=\frac{\sqrt{6195}}{354}
$