100-9a^2=0

Solution for 100-9a^2=0 equation:

100-9a^2=0

a = -9; b = 0; c = +100;
Δ = b2-4ac
Δ = 02-4·(-9)·100
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*-9}=\frac{-60}{-18}
=3+1/3
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*-9}=\frac{60}{-18}
=-3+1/3
$