Solve LM=frac{sqrt{50}}{2}

$$L M = \frac { \sqrt { 50 } } { 2 }$$

Solve for L

$$L=\frac{5\sqrt{2}}{2M}$$

$$M\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2LM=\sqrt{50}$$

Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.

$$2LM=5\sqrt{2}$$

The equation is in standard form.

$$2ML=5\sqrt{2}$$

Divide both sides by 2M.

$$\frac{2ML}{2M}=\frac{5\sqrt{2}}{2M}$$

Dividing by 2M undoes the multiplication by 2M.

$$L=\frac{5\sqrt{2}}{2M}$$

Solve for M

$$M=\frac{5\sqrt{2}}{2L}$$

$$L\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2LM=\sqrt{50}$$

Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.

$$2LM=5\sqrt{2}$$

Divide both sides by 2L.

$$\frac{2LM}{2L}=\frac{5\sqrt{2}}{2L}$$

Dividing by 2L undoes the multiplication by 2L.

$$M=\frac{5\sqrt{2}}{2L}$$