To solve this equation, we start by expanding the expression (х+2)^4 using the binomial theorem:
(х+2)^4 = x^4 + 4x^3(2) + 6x^2(2)^2 + 4x(2)^3 + 2^4= x^4 + 8x^3 + 24x^2 + 32x + 16
Now substitute this expansion back into the original equation:
x^4 + 8x^3 + 24x^2 + 32x + 16 + 2x^2 + 8x - 16 = 0
Combine like terms:
x^4 + 8x^3 + 26x^2 + 40x = 0
Now we have a quartic equation that we can factor or solve using numerical methods to find the solutions for x.
To solve this equation, we start by expanding the expression (х+2)^4 using the binomial theorem:
(х+2)^4 = x^4 + 4x^3(2) + 6x^2(2)^2 + 4x(2)^3 + 2^4
= x^4 + 8x^3 + 24x^2 + 32x + 16
Now substitute this expansion back into the original equation:
x^4 + 8x^3 + 24x^2 + 32x + 16 + 2x^2 + 8x - 16 = 0
Combine like terms:
x^4 + 8x^3 + 26x^2 + 40x = 0
Now we have a quartic equation that we can factor or solve using numerical methods to find the solutions for x.