Question

2√(8x) + 9 = 5

Explanation:

Step1: Isolate the radical term

Subtract 9 from both sides.
$2\sqrt{8x} = 5 - 9$
$2\sqrt{8x} = -4$

Step2: Solve for the radical

Divide both sides by 2.
$\sqrt{8x} = \frac{-4}{2}$
$\sqrt{8x} = -2$

Step3: Analyze the radical's validity

A square root of a real number cannot be negative. There is no real value of $x$ that satisfies this equation, since $\sqrt{8x} \geq 0$ for all real $x$ where the expression is defined ($x \geq 0$).

Answer:

No real solution exists.