Question

ma puteti ajuta va rog
ofer coroana❤️

Answer 1

Explicație pas cu pas:

1. ai rezolvarea în imagine

2.

$\iff {(x + 1)}^{2} = \dfrac{ {(6 + 2 \sqrt{3} )}^{2} }{12}$

$\dfrac{ {(6 + 2 \sqrt{3} )}^{2} }{12} = {\bigg(\dfrac{2(3 + \sqrt{3})}{2 \sqrt{3} }\bigg)}^{2} = {\bigg(\dfrac{(3 + \sqrt{3}) \sqrt{3} }{3}\bigg)}^{2} = \\ = {\bigg(\dfrac{3( \sqrt{3} + 1)}{3}\bigg)}^{2} = {( \sqrt{3} + 1)}^{2}$

$\implies {(x + 1)}^{2} = {( \sqrt{3} + 1)}^{2}$

$|x + 1| = \sqrt{3} + 1$

$x + 1 = - (\sqrt{3} + 1) \implies \bf x = - \sqrt{3} - 2$

$x + 1 = \sqrt{3} + 1 \implies \bf x = \sqrt{3}$