Solve for x square root of x-10-4=0

Problem

√(,x−10)−4=0

Solution

1. Isolate the radical term by adding 4 to both sides of the equation.

√(,x−10)=4

2. Square both sides of the equation to eliminate the square root.

(√(,x−10))^2=4^2

3. Simplify the resulting linear equation.

x−10=16

4. Solve for x by adding 10 to both sides.

x=26

5. Verify the solution by substituting x=26 back into the original equation: √(,26−10)−4=√(,16)−4=4−4=0

Final Answer

√(,x−10)−4=0⇒x=26

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