SOLUTION: how do you solve the equation {{{-6+sqrt(x)-5=-2}}}

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Question 308841: how do you solve the equation -6%2Bsqrt%28x%29-5=-2
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
use y instead of sqrt%28x%29
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: y=-3.
  • Graphical form: Equation 6%2By-5=-2 was fully solved.
  • Text form: 6+y-5=-2 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+6%2By-5=-2+%29
    For tutors: simplify_cartoon( 6+y-5=-2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+6+%29%2By-highlight_red%28+5+%29=-2.
Added fractions or integers together
It becomes highlight_green%28+1+%29%2By=-2.
Look at highlight_red%28+1+%29%2By=-2.
Moved 1 to the right of expression
It becomes y%2Bhighlight_green%28+1+%29=-2.
Look at y%2B1=highlight_red%28+-2+%29.
Moved these terms to the left highlight_green%28+2+%29
It becomes y%2B1%2Bhighlight_green%28+2+%29=0.
Look at y%2Bhighlight_red%28+1+%29%2Bhighlight_red%28+2+%29=0.
Added fractions or integers together
It becomes y%2Bhighlight_green%28+3+%29=0.
Look at highlight_red%28+y%2B3+%29=0.
Solved linear equation highlight_red%28+y%2B3=0+%29 equivalent to y+3 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: y=-3.

Universal Simplifier and Solver


Done!


sqrt%28x%29=-3
If you did not yet study "complex" numbers, the answer is that there is no solution.
If you did, the answer is +system%28sqrt%283%29%2Ai%2C-sqrt%283%29%2Ai%29+