[tex] \star) {x}^{2} = 1 = > x = \pm \sqrt{1} = \pm \: 1[/tex]
[tex] \star) {x}^{2} = 81 = > x = \pm \sqrt{81} = \pm \: 9[/tex]
[tex] \star)4 {x}^{2} = 1 \: | \div 4[/tex]
[tex] {x}^{2} = \frac{1}{4} = > x = \pm \sqrt{ \frac{1}{4} } = \pm \frac{ \sqrt{1} }{ \sqrt{4} } = \pm \: \frac{1}{2} [/tex]
[tex] \star)2 {x}^{2} = 8 \: | \div 2[/tex]
[tex] {x}^{2} = 4 = > x = \pm \sqrt{4} = \pm \: 2[/tex]
[tex] \star)3 {x}^{2} = 75 \: | \div 3[/tex]
[tex] {x}^{2} = 25 = > x = \pm \sqrt{25} = \pm \: 5[/tex]
[tex] \star)49 {x}^{2} = 121 \: | \div 49[/tex]
[tex] {x}^{2} = \frac{121}{49} = > x = \pm \sqrt{ \frac{121}{49} } = \pm \frac{ \sqrt{121} }{ \sqrt{49} } = \pm \: \frac{11}{7} [/tex]
[tex] \star)25 {x}^{2} = 225 \: | \div 25[/tex]
[tex] {x}^{2} = \frac{225}{25} = 9 = > x = \pm \sqrt{9} = \pm \: 3[/tex]
[tex] \star)36 {x}^{2} = 144 \: | \div 36[/tex]
[tex] {x}^{2} = \frac{144}{36} = 4 = > x = \pm \sqrt{4} = \pm \: 2[/tex]
[tex] \star) {x}^{2} - 0.25 = 0[/tex]
[tex] {x}^{2} = 0.25[/tex]
[tex] {x}^{2} = \frac{25}{100} = \frac{1}{4} = > x = \pm \sqrt{ \frac{1}{4} } = \pm \frac{ \sqrt{1} }{ \sqrt{4} } = \pm \: \frac{1}{2} [/tex]
[tex] \star)2 {x}^{2} - 0.32 = 0[/tex]
[tex]2 {x}^{2} = 0.32[/tex]
[tex]2 {x}^{2} = \frac{32}{100} [/tex]
[tex]2 {x}^{2} = \frac{8}{25} \: | \div 2[/tex]
[tex] {x}^{2} = \frac{ \frac{8}{25} }{2} = \frac{8}{25} \times \frac{1}{2} = \frac{8}{50} = \frac{4}{25} [/tex]
[tex]x = \pm \sqrt{ \frac{4}{25} } = \pm \frac{ \sqrt{4} }{ \sqrt{25} } = \pm \: \frac{2}{5} [/tex]
[tex] \star)4 {x}^{2} = 0.04[/tex]
[tex]4 {x}^{2} = \frac{4}{100} [/tex]
[tex]4 {x}^{2} = \frac{1}{25} \: | \div 4[/tex]
[tex] {x}^{2} = \frac{ \frac{1}{25} }{4} = \frac{1}{25} \times \frac{1}{4} = \frac{1}{100} [/tex]
[tex]x = \pm \sqrt{ \frac{1}{100} } = \pm \frac{ \sqrt{1} }{ \sqrt{100} } = \pm \: \frac{1}{10} [/tex]
[tex] \star)3 {x}^{2} = 10.8[/tex]
[tex]3 {x}^{2} = \frac{108}{10} [/tex]
[tex]3 {x}^{2} = \frac{54}{5} \: | \div 3[/tex]
[tex] {x}^{2} = \frac{ \frac{54}{5} }{3} = \frac{54}{5} \times \frac{1}{3} = \frac{54}{15} = \frac{18}{5} [/tex]
[tex]x = \pm \sqrt{ \frac{18}{5} } = \pm \frac{ \sqrt{18} }{ \sqrt{5} } = \pm \: \frac{3 \sqrt{2} \times \sqrt{5} }{5} = \pm \: \frac{3 \sqrt{10} }{5} [/tex]
