X^2-11x+44x-1452=0

Solution for X^2-11x+44x-1452=0 equation:

X^2-11X+44X-1452=0

We add all the numbers together, and all the variables

X^2+33X-1452=0

a = 1; b = 33; c = -1452;
Δ = b2-4ac
Δ = 332-4·1·(-1452)
Δ = 6897
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:

$\sqrt{\Delta}=\sqrt{6897}=\sqrt{121*57}=\sqrt{121}*\sqrt{57}=11\sqrt{57}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-11\sqrt{57}}{2*1}=\frac{-33-11\sqrt{57}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+11\sqrt{57}}{2*1}=\frac{-33+11\sqrt{57}}{2}
$