SOLUTION: Find the real solution of the equation sqrt 32-4x=x

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Question 376158: Find the real solution of the equation sqrt 32-4x=x
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!

square both sides. Note that squaring means that you can get solutions that are not suitable, in this case if you get a solution of a negative x:

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-8,x=4.
  • Graphical form: Equation was fully solved.
  • Text form: 32-4x=x^2 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 32-4x=x^2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved 32 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-x%5E2+%29
It becomes .
Look at .
Moved 32 to the right of expression
It becomes .
Look at .
Equation highlight_red%28+-4%2Ax-x%5E2%2B32=0+%29 is a quadratic equation: -x^2-4*x+32 =0, and has solutions -8,4
It becomes .
Result:
This is an equation! Solutions: x=-8,x=4.

Universal Simplifier and Solver


Done!


x = -8 is a WRONG root, because square root cannot be negative. So your answer is x=4.
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