Final answer:
To make m the subject of the formula in the equation 6m² = k, divide both sides by 6 and then take the square root, resulting in m = ±√k/6.
Step-by-step explanation:
The question asks how to make m the subject of the formula from the equation 6m² = k. Here is the step-by-step solution:
- Start with the equation 6m² = k.
- To isolate m², divide both sides by 6. This gives m² = k/6.
- To solve for m, take the square root of both sides. This gives m = ±√k/6, since squaring a negative number also gives a positive result.
Therefore, the subject m has two possible values: m = √k/6 (positive root) and m = -√k/6 (negative root).