Question

Обчисліть: √x + √16 − x = 4

Answer 1

Ответ:

$\sqrt{x} + \sqrt{16} - x = 4$

$\sqrt{x } + 4 - x = 4$

$\sqrt{x} - x = 0$

$\sqrt{x } = x$

$x = {x}^{2}$

$x - {x}^{2} = 0$

$x(1 - x) = 0$

$x = 0 \\ 1 - x = 0$

$x = 0 \\ x = 1$

$\sqrt{0} + \sqrt{16} - 0 = 4 \\ \sqrt{1} + \sqrt{16} - 1 = 4$

$\sqrt{0} + \sqrt{16} - 0 = 4 \\ \sqrt{0} + \sqrt{16} = 4 \\ 0 + \sqrt{16} = 4 \\ 0 + 4 = 4 \\ 4 = 4$

$\sqrt{1} + \sqrt{16} - 1 = 4 \\ 1 + \sqrt{16 } - 1 = 4 \\ \sqrt{16} = 4 \\ 4 = 4$

$4 = 4 \\ 4 = 4$

$x = 0 \\ x = 1$

$x_{1} = 0. x_{2} = 1$