Answer:
x = 5
Step-by-step explanation:
2x³ – 64 = x³ + 61
We need to solve this for x, right? Let's get started by isolating x.
First, we need to isolate one of the x-terms, either by adding 64 or subtracting 61. Here, I chose to add 64, since I find negatives tricky:
2x³ – 64 + 64 = x³ + 61 + 64
2x³ = x³ + 125 — simplifying the expression
Now, we need to isolate the x³. We can do this by subtracting the x³ from both sides:
2x³ – x³ = x³ – x³ + 125
x³ = 125 — simplifying
Now all we need to do is take the cube root of both sides to find x
∛(x³) = ∛(125)
x = 5 — simplifying
Here we go! The answer is 5!
Hope this helps you understand! Have a great day!