2x^2-44x+144=0

Solution for 2x^2-44x+144=0 equation:

2x^2-44x+144=0

a = 2; b = -44; c = +144;
Δ = b2-4ac
Δ = -442-4·2·144
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-28}{2*2}=\frac{16}{4}
=4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+28}{2*2}=\frac{72}{4}
=18
$