# SOLUTION: Question: {{{x-2-8*sqrt(x-2) +15=0 }}} Work: {{{13=8*sqrt(x-2) -x }}} i dont know what to do next to solve for x?

Algebra ->  -> SOLUTION: Question: {{{x-2-8*sqrt(x-2) +15=0 }}} Work: {{{13=8*sqrt(x-2) -x }}} i dont know what to do next to solve for x?      Log On

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Question 453256: Question:

Work:

i dont know what to do next to solve for x?

Found 2 solutions by MathLover1, pedjajov:
You can put this solution on YOUR website!

Work:
...both sides raise to the power of two

 Solved by pluggable solver: Quadratic Formula Let's use the quadratic formula to solve for x: Starting with the general quadratic the general solution using the quadratic equation is: So lets solve ( notice , , and ) Plug in a=1, b=-38, and c=297 Negate -38 to get 38 Square -38 to get 1444 (note: remember when you square -38, you must square the negative as well. This is because .) Multiply to get Combine like terms in the radicand (everything under the square root) Simplify the square root (note: If you need help with simplifying the square root, check out this solver) Multiply 2 and 1 to get 2 So now the expression breaks down into two parts or Lets look at the first part: Add the terms in the numerator Divide So one answer is Now lets look at the second part: Subtract the terms in the numerator Divide So another answer is So our solutions are: or