m^2/3=176.3333m=m=

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Solution for m^2/3=176.3333m=m= equation:



m^2/3=176.3333m=m=
We move all terms to the left:
m^2/3-(176.3333m)=0
We add all the numbers together, and all the variables
m^2/3-(+176.3333m)=0
We get rid of parentheses
m^2/3-176.3333m=0
We multiply all the terms by the denominator
m^2-(176.3333m)*3=0
We add all the numbers together, and all the variables
m^2-(+176.3333m)*3=0
We multiply parentheses
m^2-528m=0
a = 1; b = -528; c = 0;
Δ = b2-4ac
Δ = -5282-4·1·0
Δ = 278784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{278784}=528$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-528)-528}{2*1}=\frac{0}{2} =0 $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-528)+528}{2*1}=\frac{1056}{2} =528 $

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