Question

3(x+2√3) la puterea 2 -5=4​

Answer 1

Explicație pas cu pas:

$3{(x + 2 \sqrt{3} )}^{2} - 5 = 4$

$3{(x + 2 \sqrt{3} )}^{2} = 9 \iff {(x + 2 \sqrt{3} )}^{2} = 3$

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

$|x + 2 \sqrt{3}| = \sqrt{3}$

$x + 2 \sqrt{3} = - \sqrt{3} \iff x = - 3 \sqrt{3}$

$x + 2 \sqrt{3} = \sqrt{3} \iff x = - \sqrt{3}$

$S = \{ - 3 \sqrt{3} ; - \sqrt{3} \}$