36y^2-3=26

Solution for 36y^2-3=26 equation:

36y^2-3=26

We move all terms to the left:

36y^2-3-(26)=0

We add all the numbers together, and all the variables

36y^2-29=0

a = 36; b = 0; c = -29;
Δ = b2-4ac
Δ = 02-4·36·(-29)
Δ = 4176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4176}=\sqrt{144*29}=\sqrt{144}*\sqrt{29}=12\sqrt{29}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{29}}{2*36}=\frac{0-12\sqrt{29}}{72}
=-\frac{12\sqrt{29}}{72}
=-\frac{\sqrt{29}}{6}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{29}}{2*36}=\frac{0+12\sqrt{29}}{72}
=\frac{12\sqrt{29}}{72}
=\frac{\sqrt{29}}{6}
$