8x^2+5=36x

Solution for 8x^2+5=36x equation:

8x^2+5=36x

We move all terms to the left:

8x^2+5-(36x)=0

a = 8; b = -36; c = +5;
Δ = b2-4ac
Δ = -362-4·8·5
Δ = 1136
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:

$\sqrt{\Delta}=\sqrt{1136}=\sqrt{16*71}=\sqrt{16}*\sqrt{71}=4\sqrt{71}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-4\sqrt{71}}{2*8}=\frac{36-4\sqrt{71}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+4\sqrt{71}}{2*8}=\frac{36+4\sqrt{71}}{16}
$