X2-144x+284=0

Solution for X2-144x+284=0 equation:

X2-144X+284=0

We add all the numbers together, and all the variables

X^2-144X+284=0

a = 1; b = -144; c = +284;
Δ = b2-4ac
Δ = -1442-4·1·284
Δ = 19600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{19600}=140$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-144)-140}{2*1}=\frac{4}{2}
=2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-144)+140}{2*1}=\frac{284}{2}
=142
$