2x²-1=1-2x² va roggf

Răspuns :

[tex]2 {x}^{2} - 1 = 1 - 2 {x}^{2} [/tex]

[tex]2 {x}^{2} + 2 {x}^{2} = 1 + 1[/tex]

[tex]4 {x}^{2} = 2 [/tex]

[tex] {x}^{2} = \frac{2}{4} [/tex]

[tex] {x}^{2} = \frac{1}{2} [/tex]

[tex]x = \pm \sqrt{ \frac{1}{2} } [/tex]

[tex]x = \pm \frac{ \sqrt{1} }{ \sqrt{2} } [/tex]

[tex]x = \pm \frac{1}{ \sqrt{2} } [/tex]

[tex]x = \pm \frac{1 \times \sqrt{2} }{ {( \sqrt{2} )}^{2} } [/tex]

[tex]x = \pm \frac{ \sqrt{2} }{2} [/tex]
2x²-1-1+2x²=0
4x²-2=0
2x²-1=0
2x²=1
x²=1/2
x=+/-1/√2
x=+/- √2/2