Solve 1/2(sqrt{5}-1)h=2

$$\frac { 1 } { 2 } ( \sqrt { 5 } - 1 ) h = 2$$

Solve for h

$$h=\sqrt{5}+1\approx 3.236067977$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2} by \sqrt{5}-1.

$$\left(\frac{1}{2}\sqrt{5}+\frac{1}{2}\left(-1\right)\right)h=2$$

Multiply \frac{1}{2} and -1 to get -\frac{1}{2}.

$$\left(\frac{1}{2}\sqrt{5}-\frac{1}{2}\right)h=2$$

The equation is in standard form.

$$\frac{\sqrt{5}-1}{2}h=2$$

Divide both sides by \frac{1}{2}\sqrt{5}-\frac{1}{2}.

$$\frac{2\times \frac{\sqrt{5}-1}{2}h}{\sqrt{5}-1}=\frac{2\times 2}{\sqrt{5}-1}$$

Dividing by \frac{1}{2}\sqrt{5}-\frac{1}{2} undoes the multiplication by \frac{1}{2}\sqrt{5}-\frac{1}{2}.

$$h=\frac{2\times 2}{\sqrt{5}-1}$$

Divide 2 by \frac{1}{2}\sqrt{5}-\frac{1}{2}.

$$h=\sqrt{5}+1$$