X2-44x+7=0

Solution for X2-44x+7=0 equation:

X2-44X+7=0

We add all the numbers together, and all the variables

X^2-44X+7=0

a = 1; b = -44; c = +7;
Δ = b2-4ac
Δ = -442-4·1·7
Δ = 1908
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:

$\sqrt{\Delta}=\sqrt{1908}=\sqrt{36*53}=\sqrt{36}*\sqrt{53}=6\sqrt{53}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-6\sqrt{53}}{2*1}=\frac{44-6\sqrt{53}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+6\sqrt{53}}{2*1}=\frac{44+6\sqrt{53}}{2}
$