5(x^2)=49.6

Solution for 5(x^2)=49.6 equation:

5(x^2)=49.6

We move all terms to the left:

5(x^2)-(49.6)=0

We add all the numbers together, and all the variables

5x^2-49.6=0

a = 5; b = 0; c = -49.6;
Δ = b2-4ac
Δ = 02-4·5·(-49.6)
Δ = 992
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:

$\sqrt{\Delta}=\sqrt{992}=\sqrt{16*62}=\sqrt{16}*\sqrt{62}=4\sqrt{62}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{62}}{2*5}=\frac{0-4\sqrt{62}}{10}
=-\frac{4\sqrt{62}}{10}
=-\frac{2\sqrt{62}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{62}}{2*5}=\frac{0+4\sqrt{62}}{10}
=\frac{4\sqrt{62}}{10}
=\frac{2\sqrt{62}}{5}
$