Question

Найдите корни уравнений

Answer 1

Ответ:

А) $4 {x}^{2} - 9 = 0$

$4 {x}^{2} = 9$

${x}^{2} = \frac{9}{4}$

${x}^{2} = 2.25$

$x = - \sqrt{ 2.25} ; \sqrt{2.25 }$

$x = - 1.5; \: 1.5$

Б) $- {x}^{2} + 3 = 0$

$- {x}^{2} = - 3$

${x}^{2} = 3$

$x = - \sqrt{3} ; \sqrt{3}$

В) $- 0.1 {x}^{2} + 10 = 0$

$- 0.1 {x}^{2} = - 10$

$0.1 {x}^{2} = 10$

${x}^{2} = 100$

$x = - 10;10$

Г) ${y}^{2} - \frac{1}{9} = 0$

${y}^{2} = \frac{1}{9}$

$y = - \sqrt{ \frac{1}{9} } ; \sqrt{ \frac{1}{9} }$

$y = - \frac{1}{3} ; \frac{1}{3}$

Д) $6 {v}^{2} + 24 = 0$

$6 {v}^{2} = - 24$

${v}^{2} ≠ - 4$

Е) $3 {m}^{2} - 1 = 0$

$3 {m}^{2} = 1$

${m}^{2} = \frac{1}{3}$

$m = - \sqrt{ \frac{1}{3} };\frac{1}{3}$