Алгебра 8 класс учебник Макарычев, Миндюк ответы – номер 513

а) 4x² − 9 = 0 4x² = 9 x² = 9 : 4 = 9/4 x = ±$$ \sqrt{\frac{9}{4}} $$ x = ±3/2 = ±1,5 x₁ = 1,5, x₂ = −1,5
б) −x² + 3 = 0 −x² = −3 x² = 3 x = ±$$\sqrt{3}$$ x₁ = $$\sqrt{3}$$, x₂ = −$$\sqrt{3}$$
в) −0,1x² + 10 = 0 −0,1x² = −10 0,1x² = 10 x² = 10 : 0,1 x² = 100 x = ±$$\sqrt{100}$$ x = ±10 x₁ = 10, x₂ = −10
г) y² − 1/9 = 0 y² = 1/9 y = ±$$ \sqrt{\frac{1}{9}} $$ y = ±1/3 x₁ = 1/3, x₂ = −1/3
д) 6v² + 24 = 0 6v² = −24 v² = −24 : 6 v² = −4
е) 3m² − 1 = 0 3m² = 1 m² = 1 : 3 = 1/3 m² = 1/3 m = ±$$ \sqrt{\frac{1}{3}} $$ x₁ = $$ \sqrt{\frac{1}{3}} $$, x₂ = −$$ \sqrt{\frac{1}{3}} $$