29x2-30-2=0

Solution for 29x2-30-2=0 equation:

29x^2-30-2=0

We add all the numbers together, and all the variables

29x^2-32=0

a = 29; b = 0; c = -32;
Δ = b2-4ac
Δ = 02-4·29·(-32)
Δ = 3712
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3712}=\sqrt{64*58}=\sqrt{64}*\sqrt{58}=8\sqrt{58}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{58}}{2*29}=\frac{0-8\sqrt{58}}{58}
=-\frac{8\sqrt{58}}{58}
=-\frac{4\sqrt{58}}{29}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{58}}{2*29}=\frac{0+8\sqrt{58}}{58}
=\frac{8\sqrt{58}}{58}
=\frac{4\sqrt{58}}{29}
$