X2-34x+288=0

Solution for X2-34x+288=0 equation:

X2-34X+288=0

We add all the numbers together, and all the variables

X^2-34X+288=0

a = 1; b = -34; c = +288;
Δ = b2-4ac
Δ = -342-4·1·288
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-2}{2*1}=\frac{32}{2}
=16
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+2}{2*1}=\frac{36}{2}
=18
$