3m^2+2=5.63

Solution for 3m^2+2=5.63 equation:

3m^2+2=5.63

We move all terms to the left:

3m^2+2-(5.63)=0

We add all the numbers together, and all the variables

3m^2-3.63=0

a = 3; b = 0; c = -3.63;
Δ = b2-4ac
Δ = 02-4·3·(-3.63)
Δ = 43.56
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{43.56}}{2*3}=\frac{0-\sqrt{43.56}}{6}
=-\frac{\sqrt{}}{6}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{43.56}}{2*3}=\frac{0+\sqrt{43.56}}{6}
=\frac{\sqrt{}}{6}
$