18+8x^2=1700

Solution for 18+8x^2=1700 equation:

18+8x^2=1700

We move all terms to the left:

18+8x^2-(1700)=0

We add all the numbers together, and all the variables

8x^2-1682=0

a = 8; b = 0; c = -1682;
Δ = b2-4ac
Δ = 02-4·8·(-1682)
Δ = 53824
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{53824}=232$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-232}{2*8}=\frac{-232}{16}
=-14+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+232}{2*8}=\frac{232}{16}
=14+1/2
$