Question

√(2x + 1) + 3 = 2x - 5 помогите ​

Answer 1

$\sqrt{2x + 1} + 3 = 2x - 5$

$\sqrt{2x + 1} = 2x - 5 - 3 \\ \sqrt{2x + 1 } =2x - 8$

$2x + 1 = 4 {x}^{2} - 32x + 64$

$2x + 1 - 4 {x}^{2} + 32x - 64 = 0$

$- 4 {x}^{2} + 34x - 63 = 0 \\ 4 {x}^{2} - 34x + 63 = 0$

$x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a}$

$x = \frac{ - ( - 34± \sqrt{( - 34) {}^{2} - 4 \times 4 \times 63 } }{2 \times 4}$

$x = \frac{34± \sqrt{148} }{8}$

$x = \frac{34±2 \sqrt{37} }{8}$

$x = \frac{17+ \sqrt{37} }{4}$

$x ≠ \frac{17 - \sqrt{37} }{4}$