Question

rezolvarea ecuatii √x²-2x=2​

Answer 1

Explicație pas cu pas:

$\sqrt{ {x}^{2} - 2x }=2 \\ {x}^{2} - 2x = 4 \\ {x}^{2} - 2x - 4 = 0 \\ x1 = 1 + \sqrt{5} \\ x2 = 1 - \sqrt{5}$

$\sqrt{ {x}^{2} }- 2x = 2 \\ \sqrt{ {x}^{2} } = 2x + 2 \\ {x}^{2} = {(2x + 2)}^{2} \\ x = 2x + 2 \\ = > x = - 2 \\x = - 2x - 2 \\3x = - 2 = > x = - \frac{2}{3}$