Question

Rezolvă ecuația
( x + √3)² - 10 = x² - ( √3 + 2)²
Vă implor

Answer 1

Ai rezolvarea in poza.

Answer 2

$\it (x+\sqrt3)^2 -10 = x^2 - (\sqrt3+2)^2 \Rightarrow x^2+2\sqrt3x+3-10 = x^2-3-4\sqrt3-4\Rightarrow \\ \\ \Rightarrow x^2+2\sqrt3x -x^2= -3 - 4 - 3 + 10 -4\sqrt3 \Rightarrow2\sqrt3x=-4\sqrt3 \Rightarrow \\ \\ \Rightarrow x = \dfrac{-4\sqrt3}{2\sqrt3} = -2$