X2-18x+35=0

Solution for X2-18x+35=0 equation:

X2-18X+35=0

We add all the numbers together, and all the variables

X^2-18X+35=0

a = 1; b = -18; c = +35;
Δ = b2-4ac
Δ = -182-4·1·35
Δ = 184
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:

$\sqrt{\Delta}=\sqrt{184}=\sqrt{4*46}=\sqrt{4}*\sqrt{46}=2\sqrt{46}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-2\sqrt{46}}{2*1}=\frac{18-2\sqrt{46}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+2\sqrt{46}}{2*1}=\frac{18+2\sqrt{46}}{2}
$