Final answer:
The real solution to the equation x³ + 40 = 25 is x ≈ -2.47 after subtracting 40 from both sides and calculating the cube root of -15.
Step-by-step explanation:
To find the real solution(s) of the equation x³ + 40 = 25, we first isolate the cubic term by subtracting 40 from both sides of the equation, resulting in x³ = -15. Next, we find the cube root of both sides to solve for x, giving us x = ∓(-15). Using a calculator, we can find that x ≈ -2.47, rounding to two decimal places. There is only one real solution to this cubic equation.