64x^2=169

Solution for 64x^2=169 equation:

64x^2=169

We move all terms to the left:

64x^2-(169)=0

a = 64; b = 0; c = -169;
Δ = b2-4ac
Δ = 02-4·64·(-169)
Δ = 43264
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{43264}=208$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-208}{2*64}=\frac{-208}{128}
=-1+5/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+208}{2*64}=\frac{208}{128}
=1+5/8
$