Solve the equation x + sqrt(x - 2) = 4.

Solve the equation.

Hello Guest!

\( x + \sqrt{x - 2} = 4\\ \sqrt{x - 2} = 4-x\\ x-2=x^2-8x+16\\ x^2-9x+18=0\\ x=4.5\pm \sqrt{4.5^2-18}\\ x=4.5\pm 1.5\\ \color{blue}x\in\{3,6\}\)

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x = 6 doesn't seem to work.

Thats because it doesn't! :p

The answer to your question is 3 🍻