x2-44x+363=0

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Solution for x2-44x+363=0 equation:



x2-44x+363=0
We add all the numbers together, and all the variables
x^2-44x+363=0
a = 1; b = -44; c = +363;
Δ = b2-4ac
Δ = -442-4·1·363
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-22}{2*1}=\frac{22}{2} =11 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+22}{2*1}=\frac{66}{2} =33 $

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