Solve lambda-sqrt{3}lambda-1=0

$$\lambda - \sqrt { 3 } \lambda - 1 = 0$$

Solve for λ

$$\lambda =\frac{-\sqrt{3}-1}{2}\approx -1.366025404$$

Steps for Solving Linear Equation

Add 1 to both sides. Anything plus zero gives itself.

$$\lambda -\sqrt{3}\lambda =1$$

Reorder the terms.

$$-\sqrt{3}\lambda +\lambda =1$$

Combine all terms containing \lambda .

$$\left(-\sqrt{3}+1\right)\lambda =1$$

The equation is in standard form.

$$\left(1-\sqrt{3}\right)\lambda =1$$

Divide both sides by -\sqrt{3}+1.

$$\frac{\left(1-\sqrt{3}\right)\lambda }{1-\sqrt{3}}=\frac{1}{1-\sqrt{3}}$$

Dividing by -\sqrt{3}+1 undoes the multiplication by -\sqrt{3}+1.

$$\lambda =\frac{1}{1-\sqrt{3}}$$

Divide 1 by -\sqrt{3}+1.

$$\lambda =\frac{-\sqrt{3}-1}{2}$$