72x^2-128=0

Solution for 72x^2-128=0 equation:

72x^2-128=0

a = 72; b = 0; c = -128;
Δ = b2-4ac
Δ = 02-4·72·(-128)
Δ = 36864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36864}=192$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-192}{2*72}=\frac{-192}{144}
=-1+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+192}{2*72}=\frac{192}{144}
=1+1/3
$