Esercizio
$e=\left(x+2\right)\left(x-2\right)\left(x^2+4\right)\left(x^4+16\right)+256$
Soluzione passo-passo
Impara online a risolvere i problemi di equazioni lineari a due variabili passo dopo passo. Solve the equation e=(x+2)(x-2)(x^2+4)(x^4+16)+256. Applicare la formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, dove a=x, b=2, c=-2, a+c=x-2 e a+b=x+2. Applicare la formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, dove a=x^2, b=4, c=-4, a+c=x^2+4 e a+b=x^2-4. Simplify \left(x^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2. Applicare la formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, dove a=x^{4}, b=16, c=-16, a+c=x^4+16 e a+b=x^{4}-16.
Solve the equation e=(x+2)(x-2)(x^2+4)(x^4+16)+256
Risposta finale al problema
$x=\sqrt[8]{e},\:x=-\sqrt[8]{e}$