Problem

$2 \sqrt{x}-14=\frac{288}{\sqrt{x}}$

Solution

Step 1 :Given the equation \(2 \sqrt{x}-14=\frac{288}{\sqrt{x}}\)

Step 2 :Isolate the terms involving \(\sqrt{x}\) on one side of the equation and the constant term on the other side.

Step 3 :Square both sides of the equation to get rid of the square root. This will give us a quadratic equation in \(\sqrt{x}\).

Step 4 :Solve the quadratic equation using the quadratic formula.

Step 5 :The solution to the equation is x = 256. This means that the value of x that satisfies the equation \(2 \sqrt{x}-14=\frac{288}{\sqrt{x}}\) is 256.

Step 6 :Final Answer: \(\boxed{256}\)

From Solvely APP
Source: https://solvelyapp.com/problems/8132/

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