100a^2-59=0

Solution for 100a^2-59=0 equation:

100a^2-59=0

a = 100; b = 0; c = -59;
Δ = b2-4ac
Δ = 02-4·100·(-59)
Δ = 23600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{23600}=\sqrt{400*59}=\sqrt{400}*\sqrt{59}=20\sqrt{59}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{59}}{2*100}=\frac{0-20\sqrt{59}}{200}
=-\frac{20\sqrt{59}}{200}
=-\frac{\sqrt{59}}{10}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{59}}{2*100}=\frac{0+20\sqrt{59}}{200}
=\frac{20\sqrt{59}}{200}
=\frac{\sqrt{59}}{10}
$