algebra need help - XP Math - Forums

 XP Math - Forums algebra need help

 01-01-2008 #1 agripa Guest   Posts: n/a algebra need help \sqrt {x + 2 - x^2 } < \sqrt {x^2 - 3x + 2} + x. please help me
 01-01-2008 #2 MyriamK Guest   Posts: n/a Not as hard as it seems I cannot get the symbols right either. For the square roots to be real numbers, -x^2+x+2 and x^2-3x+2 must be positive or zero That only happens for x=-1, x=1 and all numbers in between. That is the domain you are working in. Luckily for you, neither side of the inequality is negative there, so you can square both sides to get another inequality with exactly the same solutions. Rearrange the new inequality so that one side contains only the term with the square root. You'll find x as a factor on both sides. For x=0, both sides of your inequality are equal, so x=0 is not a solution. You will have to consider two cases (x>0 and x<0). Squaring again, you get an inequality that is never true for x>0. For x<0, the last inequality is always true within your domain. Your solution, then, is x=-1 and -1
 01-02-2008 #3 Temperal Guest   Posts: n/a Why not just $-1\le x <0$ for notation?
01-02-2008   #4
MyriamK
Guest

Posts: n/a

Quote:
 Originally Posted by Temperal Why not just $-1\le x <0$ for notation?
Allergic to latex.

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