g^2/23=26

Solution for g^2/23=26 equation:

g^2/23=26

We move all terms to the left:

g^2/23-(26)=0

We multiply all the terms by the denominator


g^2-26*23=0

We add all the numbers together, and all the variables

g^2-598=0

a = 1; b = 0; c = -598;
Δ = b2-4ac
Δ = 02-4·1·(-598)
Δ = 2392
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2392}=\sqrt{4*598}=\sqrt{4}*\sqrt{598}=2\sqrt{598}$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{598}}{2*1}=\frac{0-2\sqrt{598}}{2}
=-\frac{2\sqrt{598}}{2}
=-\sqrt{598}
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{598}}{2*1}=\frac{0+2\sqrt{598}}{2}
=\frac{2\sqrt{598}}{2}
=\sqrt{598}
$