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
