2x^2=282.24

Solution for 2x^2=282.24 equation:

2x^2=282.24

We move all terms to the left:

2x^2-(282.24)=0

We add all the numbers together, and all the variables

2x^2-282.24=0

a = 2; b = 0; c = -282.24;
Δ = b2-4ac
Δ = 02-4·2·(-282.24)
Δ = 2257.92
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{2257.92}}{2*2}=\frac{0-\sqrt{2257.92}}{4}
=-\frac{\sqrt{}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{2257.92}}{2*2}=\frac{0+\sqrt{2257.92}}{4}
=\frac{\sqrt{}}{4}
$