Radical Equation Leading to a Cubic

Question

Find the approximate real solution for $$x$$ in the equation $$\sqrt{x+4} - \frac{1}{x+3} = 3$$. A method for solving this equation involves multiplying both sides by $$x+3$$, isolating the radical term, and then squaring both sides to produce a cubic equation.

Accepted Answer

The unique real solution is approximately $$x\approx2.67$$.

Answer

The unique real solution is approximately $$x\approx-3.14$$.

Answer

The unique real solution is $$x=0$$.

Answer

The unique real solution is approximately $$x\approx4.50$$.

Radical Equation Leading to a Cubic

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