100n2+1n=70n

Solution for 100n2+1n=70n equation:

100n^2+1n=70n

We move all terms to the left:

100n^2+1n-(70n)=0

We add all the numbers together, and all the variables

100n^2-69n=0

a = 100; b = -69; c = 0;
Δ = b2-4ac
Δ = -692-4·100·0
Δ = 4761
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4761}=69$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-69)-69}{2*100}=\frac{0}{200}
=0
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-69)+69}{2*100}=\frac{138}{200}
=69/100
$