Question

Помогите плиас. Алгебра 8 класс. Даю 25 баллов
1) 5x^2-10=0
2) 3x^2 + 4x = 0
3) x^2 + 6x - 7 = 0
4) x^2 - 3x+ 1 = 0
5) x^2 - x +3 = 0
6) 3x^2 + 7x + 2 = 0

Answer 1

$5 {x}^{2} - 10 = 0 \\ {x}^{2} - 2 = 0 \\ {x}^{2} = 2 \\ x = \sqrt{2} \\ x = - \sqrt{2}$

$3 {x}^{2} + 4x = 0 \\ x(3x + 4) = 0 \\ x = 0 \\ 3x + 4 = 0 \\ x = 0 \\ x = - \frac{4 }{3}$

${x}^{2} + 6x - 7 = 0 \\ {x}^{2} + 7x - x - 7 = 0 \\ x(x + 7) - (x + 7) = 0 \\ (x + 7)(x - 1) = 0 \\ x + 7 = 0 \\ x - 1 = 0 \\ x = - x = 1$

${x}^{2} - 3x + 1 = 0 \\ x = \frac{ - ( - 3) - + \sqrt{( - 3 {)}^{2 } - 4 \times 1 \times 1} }{2 \times1 } \\ x = \frac{3 + - \sqrt{9 - 4} }{2} \\ x = \frac{ + - 3 \sqrt{5} }{2} \\ x = \frac{{3 + \sqrt{5} } }{2} \\ x = - \frac{ \sqrt{3} - \sqrt{5} }{2}$

$3 {x}^{2} + 7x + 2 = 0 \\ 3 {x}^{2} + 6x + x + 2 = 0 \\ 3x(x + 2) + x + 2 = 0 \\ (x + 2)(3x + 1) = 0 \\ x + 2 = 0 \\ 3x + 1 = 0 \\ x = - 1 \\ x = - \frac{ 1 }{3}$