[latex]a) x^{2}+1=\ --- x=-2\ =(-2)^{2}+1=4+1=5\ \ --- x=-frac{1}{3}\ =(-frac{1}{3})^{2}+1=frac{1}{9}+1=1frac{1}{9}\ \ --- x=3\ =3^{2}+1=9+1=10\ \ --- x=0,75=frac{3}{4}\ =(frac{3}{4})^{2}+1=frac{9}{16}+1=1frac{9}{16}[/latex] ========================================================== [latex]b) x^{2}-1=\ --- x=-2\ =(-2)^{2}-1=4-1=3\ \ --- x=-frac{1}{3}\ =(-frac{1}{3})^{2}-1=frac{1}{9}-1=-frac{8}{9}\ \ --- x=3\ =3^{2}-1=9-1=8\ \ --- x=0,75=frac{3}{4}\ =(frac{3}{4})^{2}-1=frac{9}{16}-1=-frac{7}{16}[/latex] ========================================================== [latex]c) -x^{2}+1=\ --- x=-2\ =-(-2)^{2}+1=-4+1=-3\ \ --- x=-frac{1}{3}\ =-(-frac{1}{3})^{2}+1=-frac{1}{9}+1=frac{8}{9}\ \ --- x=3\ =-3^{2}+1=-9+1=-8\ \ --- x=0,75=frac{3}{4}\ =-(frac{3}{4})^{2}+1=frac{9}{16}+1=frac{7}{16} [/latex] ========================================================== [latex]d) -x^{2}-1=\ --- x=-2\ =-(-2)^{2}-1=-4-1=-5\ \ --- x=-frac{1}{3}\ =-(-frac{1}{3})^{2}-1=-frac{1}{9}-1=-1frac{1}{9}\ \ --- x=3\ =-3^{2}-1=-9-1=-10\ \ --- x=0,75=frac{3}{4}\ =-(frac{3}{4})^{2}-1=-frac{9}{16}-1=-1frac{9}{16}[/latex] ========================================================== [latex]e) (-x^{2})+1=\ --- x=-2\ =(-(-2))^{2}+1=2^{2}+1=4+1=5\ \ --- x=-frac{1}{3}\ =(-(-frac{1}{3}))^{2}+1=(frac{1}{3})^{2}+1=frac{1}{9}+1=1frac{1}{9}\ \ --- x=3\ =(-3)^{2}+1=9+1=10\ \ --- x=0,75=frac{3}{4}\ =(-frac{3}{4})^{2}+1=frac{9}{16}+1=1frac{9}{16}[/latex] ========================================================== [latex]e) (-x^{2})-1=\ --- x=-2\ =(-(-2))^{2}+1=2^{2}-1=4-1=3\ \ --- x=-frac{1}{3}\ =(-(-frac{1}{3}))^{2}-1=(frac{1}{3})^{2}-1=frac{1}{9}-1=-frac{8}{9}\ \ --- x=3\ =(-3)^{2}-1=9-1=8\ \ --- x=0,75=frac{3}{4}\ =(-frac{3}{4})^{2}-1=frac{9}{16}-1=-frac{7}{16}[/latex]
a) x^2+1=-2^2+1=4+1=5 x^2+1=-1/3^2+1=1/9+1=1 1/9 x^2+1=3^2+1=9+1=10 x^2+1=3/4^2+1=9/16+1=1 9/16 =1 3/4 b) x^2-1=3 x^2-1=-8/9 x^2-1=8 x^2-1=-1/4 c) -x^2+1=--2^2+1=5 -x^2+1=--1/3^2+1=1/3^2+1=1 1/9 -x^2+1=-3^2+1=9+1=10 -x^2+1=-3/4^2+1=9/16+1=1 3/4
