Answer:
x = -4
Step-by-step explanation:
Square both sides:
[tex](\sqrt{-5-2x})^2 =(\sqrt{-1-x} )^2[/tex]
The square root and the square will cancel to leave simply the argument within the square root:
-5 - 2x = -1 - x
Now simply isolate the variable x:
x = -5 + 1 = -4
Check to see if x = -4 will work:
[tex]\sqrt{-5-2*(-4)} =\sqrt{-1-(-4)}[/tex]
[tex]\sqrt{3} =\sqrt{3}[/tex]
This works, so we know that x = -4 is a solution.
Hope this helps!
