6.28x^2=120

Solution for 6.28x^2=120 equation:

6.28x^2=120

We move all terms to the left:

6.28x^2-(120)=0

a = 6.28; b = 0; c = -120;
Δ = b2-4ac
Δ = 02-4·6.28·(-120)
Δ = 3014.4
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{3014.4}}{2*6.28}=\frac{0-\sqrt{3014.4}}{12.56}
=-\frac{\sqrt{}}{12.56}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3014.4}}{2*6.28}=\frac{0+\sqrt{3014.4}}{12.56}
=\frac{\sqrt{}}{12.56}
$