180=Z/SX+x

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Solution for 180=Z/SX+x equation:



180=/Z+Z
We move all terms to the left:
180-(/Z+Z)=0
Domain of the equation: Z+Z)!=0
Z∈R
We add all the numbers together, and all the variables
-(+Z+/Z)+180=0
We get rid of parentheses
-Z-/Z+180=0
We multiply all the terms by the denominator
-Z*Z+180*Z-=0
We add all the numbers together, and all the variables
180Z-Z*Z=0
Wy multiply elements
-1Z^2+180Z=0
a = -1; b = 180; c = 0;
Δ = b2-4ac
Δ = 1802-4·(-1)·0
Δ = 32400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32400}=180$
$Z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(180)-180}{2*-1}=\frac{-360}{-2} =+180 $
$Z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(180)+180}{2*-1}=\frac{0}{-2} =0 $

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