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Daca |2x+3|=1/4 inseamna ca 2x+3=1/4 si 2x+3=-1/4 ?​

Răspuns :

Răspuns:

Corect.

a. 2x+3 = 1/4

2x = 1/4 - 3

2x = 1/4 - 12/4

2x = -11/4

x = -11/8

b. 2x+3 = -1/4

2x = -1/4 - 3

2x = -1/4 - 12/4

2x = -13/4

x = -13/8

x € {-11/8; -13/8}

Răspuns:

    Adevarat!

Explicație pas cu pas:

    |2x + 3| = [tex]\frac{1}{4}[/tex]

    2x + 3 = [tex]\frac{1}{4}[/tex]

    2x + 3 = - [tex]\frac{1}{4}[/tex]

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    2x + 3 = [tex]\frac{1}{4}[/tex]

    2x = - [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{3}[/tex]

    2x = - [tex]\frac{11}{4}[/tex]

    [tex]x_{1}[/tex] = - [tex]\frac{11}{4}[/tex] × [tex]\frac{1}{2}[/tex]

    [tex]x_{1}[/tex] = - [tex]\frac{11}{8}[/tex]

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    2x + 3 = - [tex]\frac{1}{4}[/tex]

    2x = - [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{3}[/tex]

    2x = - [tex]\frac{13}{4}[/tex]

    [tex]x_{2}[/tex] = - [tex]\frac{13}{4}[/tex] × [tex]\frac{1}{2}[/tex]

    [tex]x_{2}[/tex] = - [tex]\frac{13}{8}[/tex]