+5x2=98.2

Solution for +5x2=98.2 equation:

+5x^2=98.2

We move all terms to the left:

+5x^2-(98.2)=0

We add all the numbers together, and all the variables

5x^2-98.2=0

a = 5; b = 0; c = -98.2;
Δ = b2-4ac
Δ = 02-4·5·(-98.2)
Δ = 1964
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1964}=\sqrt{4*491}=\sqrt{4}*\sqrt{491}=2\sqrt{491}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{491}}{2*5}=\frac{0-2\sqrt{491}}{10}
=-\frac{2\sqrt{491}}{10}
=-\frac{\sqrt{491}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{491}}{2*5}=\frac{0+2\sqrt{491}}{10}
=\frac{2\sqrt{491}}{10}
=\frac{\sqrt{491}}{5}
$