10x2=112

Solution for 10x2=112 equation:

10x^2=112

We move all terms to the left:

10x^2-(112)=0

a = 10; b = 0; c = -112;
Δ = b2-4ac
Δ = 02-4·10·(-112)
Δ = 4480
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:

$\sqrt{\Delta}=\sqrt{4480}=\sqrt{64*70}=\sqrt{64}*\sqrt{70}=8\sqrt{70}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{70}}{2*10}=\frac{0-8\sqrt{70}}{20}
=-\frac{8\sqrt{70}}{20}
=-\frac{2\sqrt{70}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{70}}{2*10}=\frac{0+8\sqrt{70}}{20}
=\frac{8\sqrt{70}}{20}
=\frac{2\sqrt{70}}{5}
$