147x^2=108

Solution for 147x^2=108 equation:

147x^2=108

We move all terms to the left:

147x^2-(108)=0

a = 147; b = 0; c = -108;
Δ = b2-4ac
Δ = 02-4·147·(-108)
Δ = 63504
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{63504}=252$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-252}{2*147}=\frac{-252}{294}
=-6/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+252}{2*147}=\frac{252}{294}
=6/7
$