Radical Equation Leading to a Cubic
Solve for $$x$$ in the equation
$$\sqrt{x+4} - \frac{1}{x+3} = 3.$$
After multiplying both sides by $$x+3$$ and isolating the radical, square both sides and simplify to obtain a cubic equation.
A
The unique real solution is approximately $$x\approx2.67$$.
B
The unique real solution is approximately $$x\approx4.50$$.
C
The unique real solution is approximately $$x\approx-3.14$$.
D
The unique real solution is $$x=0$$.
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