100n2=70

Solution for 100n2=70 equation:

100n^2=70

We move all terms to the left:

100n^2-(70)=0

a = 100; b = 0; c = -70;
Δ = b2-4ac
Δ = 02-4·100·(-70)
Δ = 28000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{28000}=\sqrt{400*70}=\sqrt{400}*\sqrt{70}=20\sqrt{70}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{70}}{2*100}=\frac{0-20\sqrt{70}}{200}
=-\frac{20\sqrt{70}}{200}
=-\frac{\sqrt{70}}{10}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{70}}{2*100}=\frac{0+20\sqrt{70}}{200}
=\frac{20\sqrt{70}}{200}
=\frac{\sqrt{70}}{10}
$