x^2+234-45x=0

Solution for x^2+234-45x=0 equation:

x^2+234-45x=0

a = 1; b = -45; c = +234;
Δ = b2-4ac
Δ = -452-4·1·234
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-33}{2*1}=\frac{12}{2}
=6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+33}{2*1}=\frac{78}{2}
=39
$