2m-70/m=-4

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Solution for 2m-70/m=-4 equation:



2m-70/m=-4
We move all terms to the left:
2m-70/m-(-4)=0
Domain of the equation: m!=0
m∈R
We add all the numbers together, and all the variables
2m-70/m+4=0
We multiply all the terms by the denominator
2m*m+4*m-70=0
We add all the numbers together, and all the variables
4m+2m*m-70=0
Wy multiply elements
2m^2+4m-70=0
a = 2; b = 4; c = -70;
Δ = b2-4ac
Δ = 42-4·2·(-70)
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-24}{2*2}=\frac{-28}{4} =-7 $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+24}{2*2}=\frac{20}{4} =5 $

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