4x^2=282.24

Solution for 4x^2=282.24 equation:

4x^2=282.24

We move all terms to the left:

4x^2-(282.24)=0

We add all the numbers together, and all the variables

4x^2-282.24=0

a = 4; b = 0; c = -282.24;
Δ = b2-4ac
Δ = 02-4·4·(-282.24)
Δ = 4515.84
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{4515.84}}{2*4}=\frac{0-\sqrt{4515.84}}{8}
=-\frac{\sqrt{}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{4515.84}}{2*4}=\frac{0+\sqrt{4515.84}}{8}
=\frac{\sqrt{}}{8}
$