Løs irrasjonell likning
Posted: 31/08-2006 10:10
Fasit-svaret er 2
[tex]$${ 3 - x \equiv \sqrt {x - 1} \cr (3 - x)^2 \equiv \left( {\sqrt {x - 1} } \right)^2 \cr 9 - 3x + x^2 \equiv x - 1 \cr x^2 - 4x + 10 \equiv 0 \cr} $$[/tex]
[tex]$${ 3 - x \equiv \sqrt {x - 1} \cr (3 - x)^2 \equiv \left( {\sqrt {x - 1} } \right)^2 \cr 9 - 3x + x^2 \equiv x - 1 \cr x^2 - 4x + 10 \equiv 0 \cr} $$[/tex]