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rezolvati ecuatiile urmatoare in multimea nr reale
[tex]5 (( \frac{4x + 3}{5} - x) \times 2 + \frac{x}{2} ) = \frac{2x + 1}{2} [/tex]


Răspuns :

Răspuns:

x = 11

Explicație pas cu pas:

[tex]5[(\frac{4x+3}{5} - x)* 2 +\frac{x}{2} ] = \frac{2x+1}{2} [/tex]

[tex]5(\frac{4x+3-5x}{5} *2 +\frac{x}{2} ) = \frac{2x+1}{2} [/tex]

[tex]5[\frac{2(3-x)}{5} +\frac{x}{2} ] = \frac{2x+1}{2} [/tex]

[tex]5*\frac{4(3-x) + 5x}{10} = \frac{2x+1}{2} [/tex]

[tex]\frac{12-4x+5x}{2} = \frac{2x+1}{2} [/tex]

12+x = 2x+1

x-2x = 1-12

-x = -11

x = 11