a^2=144169

Solution for a^2=144169 equation:

a^2=144169

We move all terms to the left:

a^2-(144169)=0

a = 1; b = 0; c = -144169;
Δ = b2-4ac
Δ = 02-4·1·(-144169)
Δ = 576676
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:

$\sqrt{\Delta}=\sqrt{576676}=\sqrt{4*144169}=\sqrt{4}*\sqrt{144169}=2\sqrt{144169}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{144169}}{2*1}=\frac{0-2\sqrt{144169}}{2}
=-\frac{2\sqrt{144169}}{2}
=-\sqrt{144169}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{144169}}{2*1}=\frac{0+2\sqrt{144169}}{2}
=\frac{2\sqrt{144169}}{2}
=\sqrt{144169}
$