##### Question 7.5.9

Find $x$ if $\sqrt[3]{x + \sqrt{x^2-27}} + \sqrt[3]{x - \sqrt{x^2 - 27}} = 5.$ You may use the fact that $(a+b)^3 = a^3 + b^3 + 3ab(a+b),$ derived in Question 7.4.13. Show hint