X2-29x+180=0

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Solution for X2-29x+180=0 equation:



X2-29X+180=0
We add all the numbers together, and all the variables
X^2-29X+180=0
a = 1; b = -29; c = +180;
Δ = b2-4ac
Δ = -292-4·1·180
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-29)-11}{2*1}=\frac{18}{2} =9 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+11}{2*1}=\frac{40}{2} =20 $

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