9m^2+2=102

Solution for 9m^2+2=102 equation:

9m^2+2=102

We move all terms to the left:

9m^2+2-(102)=0

We add all the numbers together, and all the variables

9m^2-100=0

a = 9; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·9·(-100)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*9}=\frac{-60}{18}
=-3+1/3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*9}=\frac{60}{18}
=3+1/3
$