Question

Solve the following equation by completing the square.

6m2 + 5m -3 = 0

Answer 1

I could really use some help on this one!

Answer 2

Firstly, the coefficient of m^2 must be 1..
So, divide by 6 both the sides first...

\[m^2 + 5m/6 - 1/2 = 0\]

\[(m)^2 + 5m/6 + (5/12)^2 - (5/12)^2 - 1/2 = 0\]

\[(m + 5/12)^2 - 97/144 = 0\]

Answer 3

So how do I find what the "m" term equals?

Answer 4

To find m, you don't need to do this by completing the square method...

Just use the quadratic formula for this...

Answer 5

Thank you SO much!