Question

det x din................​

Answer 1

Răspuns:

x ~= 216.273 ( x este aproximativ 216.273)

Explicație pas cu pas:

4^2+5*[3^6 - 6*(x - 3*2^5)]^3 = 2011

Solve for x over the real numbers:

5 (3^6 - 6 (x - 3 2^5))^3 + 4^2 = 2011

5 (3^6 - 6 (x - 3 2^5))^3 + 4^2 = 5 (729 - 6 (x - 96))^3 + 16:

5 (729 - 6 (x - 96))^3 + 16 = 2011

Subtract 16 from both sides:

5 (729 - 6 (x - 96))^3 = 1995

Divide both sides by 5:

(729 - 6 (x - 96))^3 = 399

Take cube roots of both sides:

729 - 6 (x - 96) = 399^(1/3)

Expand out terms of the left hand side:

-6 x + 1305 = 399^(1/3)

Subtract 1305 from both sides:

-6 x = 399^(1/3) - 1305

Divide both sides by -6:

Answer:

x = 435/2 - 133^(1/3)/(2 3^(2/3))

x ~= 216.273