Iracionalne jednačine i nejednačine

Iracionalne jednačine $$\sqrt{p(x)}=q(x)\Leftrightarrow p(x)=q^2(x) \wedge p(x)\geq 0 \wedge q(x)\geq 0$$

Iracionalne nejednačine

  • $$\sqrt{p(x)}<q(x)\Leftrightarrow p(x)<q^2(x)\wedge p(x)\geq 0\wedge q(x)> 0$$
  • $$\sqrt{p(x)}>q(x)\Leftrightarrow (p(x)>q^2(x)\wedge q(x)\geq 0)$$
    $$ \vee (p(x)\geq 0 \wedge q(x)< 0)$$