6=6.28x^2

Solution for 6=6.28x^2 equation:

6=6.28x^2

We move all terms to the left:

6-(6.28x^2)=0

We get rid of parentheses

-6.28x^2+6=0

a = -6.28; b = 0; c = +6;
Δ = b2-4ac
Δ = 02-4·(-6.28)·6
Δ = 150.72
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{150.72}}{2*-6.28}=\frac{0-\sqrt{150.72}}{-12.56}
=-\frac{\sqrt{}}{-12.56}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{150.72}}{2*-6.28}=\frac{0+\sqrt{150.72}}{-12.56}
=\frac{\sqrt{}}{-12.56}
$