Răspuns :
Răspuns:
x=11/10-[2si1/3-(1/2)²]:5/6
x=11/10-[(2·3+1)/3-1/4]:5/6
x=11/10-(⁴⁾7/3-³⁾1/4):5/6
x=11/10-(28/12-3/12)·6/5
x=11/10-25/12·6/5
x=11/10-⁵⁾5/2
x=11/10-25/10
x=(-14/10)⁽²= -7/5
Răspuns: [tex]\purple{\bf x = - \dfrac{7}{5}}[/tex]
Explicație pas cu pas:
[tex]\bf x = \dfrac{11}{10}-\Bigg[ 2\dfrac{1}{3}-\bigg(\dfrac{1}{2} \bigg)^{2}\Bigg] :\dfrac{5}{6}[/tex]
[tex]\bf x = \dfrac{11}{10}-\bigg( \dfrac{2\cdot3+1}{3}-\dfrac{1}{4}\bigg) :\dfrac{5}{6}[/tex]
[tex]\bf x = \dfrac{11}{10}-\bigg( \dfrac{^{4)} 7~}{3}-\dfrac{^{3)} 1}{4}\bigg) :\dfrac{5}{6}[/tex]
[tex]\bf x = \dfrac{11}{10}-\bigg( \dfrac{28}{12}-\dfrac{3}{12}\bigg) \cdot\dfrac{6}{5}[/tex]
[tex]\bf x = \dfrac{11}{10}- \dfrac{\not25}{\not12}\cdot\dfrac{\not6}{\not5}[/tex]
[tex]\bf x = \dfrac{11}{10}- \dfrac{5}{2}\cdot\dfrac{1}{1}[/tex]
[tex]\bf x = \dfrac{11}{10}- \dfrac{^{5)} 5~}{2}[/tex]
[tex]\bf x = \dfrac{11}{10}- \dfrac{25}{10}[/tex]
[tex]\bf x = - \dfrac{14^{(2}~ }{10}[/tex]
[tex]\red{\boxed{\bf x = - \dfrac{7}{5}}}[/tex]
Nu iese număr rational pozitiv. E o greșeală in de scriere in carte.
Bafta multa !