Question

x(radical din2-1)=3-2radical din2

Answer 1

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

$x = \frac{3 - 2 \sqrt{2} }{ \sqrt{2} - 1 }$

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

$x = \frac{3 \sqrt{2} + 3 - 2 \sqrt{4} - 2 \sqrt{2} }{ ({ \sqrt{2} )}^{2} - {1}^{2} }$

$x = \frac{ \sqrt{2} + 3 - 2 \times 2}{2 - 1}$

$x = \frac{ \sqrt{2} + 3 - 4}{1}$

$x = \sqrt{2} - 1$

Answer 2

x(√2-1)=3-2√2

x=(3-2√2)/(√2-1)= (3-2√2)(√2+1)/(2-1)= (3-2√2)(√2+1)=3-4+3√2-2√2= -1+√2


verificare
(-1+√2)(√2-1) =(√2-1)²=3-2√2 , adevarat , bine rezolvat

deci se putea rezolva si

Altfel:
X(√2-1) =3-2√2= 2-2√2+1=(√2-1)²
 impartim prin (√2-1)>0
x=√2-1