Exercise
$x^1+x^{-1}=\sqrt{5}$
Step-by-step Solution
Learn how to solve one-variable linear inequalities problems step by step online. Solve the equation with radicals x^1+x^(-1)=5^(1/2). Move the term with the square root to the left side of the equation, and all other terms to the right side. Remember to change the signs of each term. Any expression to the power of 1 is equal to that same expression. Move everything to the left hand side of the equation. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.
Solve the equation with radicals x^1+x^(-1)=5^(1/2)
Final answer to the exercise
$x=\frac{-\sqrt{5}+1}{2},\:x=\frac{-\sqrt{5}-1}{2}$