5+17x2=44

Solution for 5+17x2=44 equation:

5+17x^2=44

We move all terms to the left:

5+17x^2-(44)=0

We add all the numbers together, and all the variables

17x^2-39=0

a = 17; b = 0; c = -39;
Δ = b2-4ac
Δ = 02-4·17·(-39)
Δ = 2652
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:

$\sqrt{\Delta}=\sqrt{2652}=\sqrt{4*663}=\sqrt{4}*\sqrt{663}=2\sqrt{663}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{663}}{2*17}=\frac{0-2\sqrt{663}}{34}
=-\frac{2\sqrt{663}}{34}
=-\frac{\sqrt{663}}{17}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{663}}{2*17}=\frac{0+2\sqrt{663}}{34}
=\frac{2\sqrt{663}}{34}
=\frac{\sqrt{663}}{17}
$