m2=16/9

Solution for m2=16/9 equation:

m2=16/9

We move all terms to the left:

m2-(16/9)=0

We add all the numbers together, and all the variables

m2-(+16/9)=0

We add all the numbers together, and all the variables

m^2-(+16/9)=0

We get rid of parentheses

m^2-16/9=0

We multiply all the terms by the denominator


m^2*9-16=0

Wy multiply elements

9m^2-16=0

a = 9; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·9·(-16)
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{-(0)-24}{2*9}=\frac{-24}{18}
=-1+1/3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*9}=\frac{24}{18}
=1+1/3
$