Question

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

Answer 1

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}

Answer 2

Răspuns:

    Adevarat!

Explicație pas cu pas:

    |2x + 3| = $\frac{1}{4}$

    2x + 3 = $\frac{1}{4}$

    2x + 3 = - $\frac{1}{4}$

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    2x + 3 = $\frac{1}{4}$

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

    2x = - $\frac{11}{4}$

    $x_{1}$ = - $\frac{11}{4}$ × $\frac{1}{2}$

    $x_{1}$ = - $\frac{11}{8}$

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    2x + 3 = - $\frac{1}{4}$

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

    2x = - $\frac{13}{4}$

    $x_{2}$ = - $\frac{13}{4}$ × $\frac{1}{2}$

    $x_{2}$ = - $\frac{13}{8}$