100x2=169

Solution for 100x2=169 equation:

100x^2=169

We move all terms to the left:

100x^2-(169)=0

a = 100; b = 0; c = -169;
Δ = b2-4ac
Δ = 02-4·100·(-169)
Δ = 67600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{67600}=260$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-260}{2*100}=\frac{-260}{200}
=-1+3/10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+260}{2*100}=\frac{260}{200}
=1+3/10
$