Question

solve the equation. (enter your answers as a comma - separated list. if there - 1 = 2√x - 19 x = \frac{18}{4} learn it: solve radical equations.

Explanation:

Step1: Isolate the radical term

Start with the equation \(-1 = 2\sqrt{x}-19\). Add 19 to both sides to isolate the radical term.
\(-1 + 19=2\sqrt{x}-19 + 19\)
\(18 = 2\sqrt{x}\)

Step2: Solve for the square root

Divide both sides by 2 to solve for \(\sqrt{x}\).
\(\frac{18}{2}=\frac{2\sqrt{x}}{2}\)
\(9=\sqrt{x}\)

Step3: Square both sides

Square both sides of the equation to solve for \(x\).
\(9^{2}=(\sqrt{x})^{2}\)
\(81 = x\)

Answer:

\(81\)