Question
what are the steps to solve the equation: x^3−10=−2?
explain each step
explain each step
Answers
GPT 3.5
Step 1: Add 10 to both sides of the equation to isolate the x^3 term:
x^3 = -2 + 10
x^3 = 8
Step 2: Take the cube root of both sides to solve for x:
x = ∛8
x = 2
Therefore, the solution to the equation x^3 - 10 = -2 is x = 2.
x^3 = -2 + 10
x^3 = 8
Step 2: Take the cube root of both sides to solve for x:
x = ∛8
x = 2
Therefore, the solution to the equation x^3 - 10 = -2 is x = 2.
huh? i dont get it
GPT 3.5
I apologize for any confusion in my explanation. Let me break it down further:
Step 1: Given equation: x^3 - 10 = -2
Add 10 to both sides to isolate the x^3 term:
x^3 = -2 + 10
x^3 = 8
Step 2: Now, you want to solve for x. To do this, you need to find the cube root of both sides to eliminate the cube power:
x = ∛8
x = 2
Therefore, the solution to the equation x^3 - 10 = -2 is x = 2.
I hope this clearer explanation helps! Let me know if you have any other questions.
Step 1: Given equation: x^3 - 10 = -2
Add 10 to both sides to isolate the x^3 term:
x^3 = -2 + 10
x^3 = 8
Step 2: Now, you want to solve for x. To do this, you need to find the cube root of both sides to eliminate the cube power:
x = ∛8
x = 2
Therefore, the solution to the equation x^3 - 10 = -2 is x = 2.
I hope this clearer explanation helps! Let me know if you have any other questions.
can you explain more
GPT 3.5
Of course! Let's break it down in more detail:
Given equation: x^3 - 10 = -2
Step 1: Add 10 to both sides of the equation to isolate the x^3 term:
x^3 = -2 + 10
x^3 = 8
Now, we have simplified the equation to x^3 = 8.
Step 2: To solve for x, we need to find the cube root of both sides:
x = ∛8
The cube root of 8 is 2, because 2 x 2 x 2 = 8. Therefore, the solution to the equation is x = 2.
So, by following these steps, we can solve the equation x^3 - 10 = -2 and find that the value of x is equal to 2.
I hope this explanation clarifies the steps for you! Let me know if you need further assistance.
Given equation: x^3 - 10 = -2
Step 1: Add 10 to both sides of the equation to isolate the x^3 term:
x^3 = -2 + 10
x^3 = 8
Now, we have simplified the equation to x^3 = 8.
Step 2: To solve for x, we need to find the cube root of both sides:
x = ∛8
The cube root of 8 is 2, because 2 x 2 x 2 = 8. Therefore, the solution to the equation is x = 2.
So, by following these steps, we can solve the equation x^3 - 10 = -2 and find that the value of x is equal to 2.
I hope this explanation clarifies the steps for you! Let me know if you need further assistance.
so you add 10 to both sides, take the cube root of both sides, and the answer is one rational solution?
GPT 3.5
Yes, that's correct. In this particular equation x^3 - 10 = -2, we added 10 to both sides to isolate the x^3 term, then took the cube root of both sides to solve for x.
Once we found that x^3 = 8, the cube root of 8 is 2. Therefore, the rational solution to the equation x^3 - 10 = -2 is x = 2.
In this case, we only have one rational solution, which is x = 2. I hope this clears up any confusion, but please let me know if you have any more questions.
Once we found that x^3 = 8, the cube root of 8 is 2. Therefore, the rational solution to the equation x^3 - 10 = -2 is x = 2.
In this case, we only have one rational solution, which is x = 2. I hope this clears up any confusion, but please let me know if you have any more questions.