144x^2-289=0

Solution for 144x^2-289=0 equation:

144x^2-289=0

a = 144; b = 0; c = -289;
Δ = b2-4ac
Δ = 02-4·144·(-289)
Δ = 166464
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{166464}=408$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-408}{2*144}=\frac{-408}{288}
=-1+5/12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+408}{2*144}=\frac{408}{288}
=1+5/12
$