Creative Question I

Algebra Level 2

x+x+x+333 = x x x333\large \sqrt[3]{x+\sqrt[3]{x+\sqrt[3]{x+\cdots}}}\ =\ \sqrt[3]{x\ \sqrt[3]{x\ \sqrt[3]{x\ldots}}}

The non-zero solution xx of the equation above can be written as a+b2,\frac{\sqrt{a}+\sqrt{b}}{2}, where aa and bb are positive integers.

What is a+b?a+b?

×

Problem Loading...

Note Loading...

Set Loading...