Esercizio
$2\left(x+5\right)^{\frac{2}{3}}-11=7$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Solve the equation 2(x+5)^(2/3)-11=7. Applicare la formula: x+a=b\to x+a-a=b-a, dove a=-11, b=7, x+a=b=2\sqrt[3]{\left(x+5\right)^{2}}-11=7, x=2\sqrt[3]{\left(x+5\right)^{2}} e x+a=2\sqrt[3]{\left(x+5\right)^{2}}-11. Applicare la formula: x+a+c=b+f\to x=b-a, dove a=-11, b=7, c=11, f=11 e x=2\sqrt[3]{\left(x+5\right)^{2}}. Applicare la formula: ax=b\to \frac{ax}{a}=\frac{b}{a}, dove a=2, b=18 e x=\sqrt[3]{\left(x+5\right)^{2}}. Applicare la formula: x^a=b\to \left(x^a\right)^{inverse\left(a\right)}=b^{inverse\left(a\right)}, dove a=\frac{2}{3}, b=9, x^a=b=\sqrt[3]{\left(x+5\right)^{2}}=9, x=x+5 e x^a=\sqrt[3]{\left(x+5\right)^{2}}.
Solve the equation 2(x+5)^(2/3)-11=7
Risposta finale al problema
$x=22$