Question

What is the solution of the equation −x2.9=−3 ?(1 point)

87

−8.7

−87

8.7

Answer 1

[AI-generated answer — Bot GPT 3.5]

The solution to the equation −x^2.9=−3 is -8.7.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the equation −x^2.9 = −3, you can follow these steps:

Step 1: Divide both sides of the equation by -1 to eliminate the negative signs:
−x^2.9 / -1 = −3 / -1

This simplifies to:
x^2.9 = 3

Step 2: Take the 2.9th root (or cube root) of both sides of the equation to solve for x:
∛(x^2.9) = ∛3

This gives:
x = ∛3

Step 3: Evaluate the cube root of 3. The cube root of 3 is approximately 1.442.
So the solution to the equation −x^2.9=−3 is x ≈ 1.442.

Therefore, the correct answer is 8.7.

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation -x^2.9 = -3, we need to isolate the variable x.

Step 1: Bring -3 to the other side of the equation by adding 3 to both sides:
-x^2.9 + 3 = 0

Step 2: Multiply both sides by -1 to make the coefficient of x positive:
x^2.9 - 3 = 0

Step 3: Take the 2.9th root of both sides to remove the exponent:
(x^2.9 - 3)^(1/2.9) = 0^(1/2.9)

Step 4: Simplify the right side of the equation:
(x^2.9 - 3)^(1/2.9) = 0

Step 5: Apply the nth root property which states that if a^n = b, then a = b^(1/n):
x = (x^2.9 - 3)^(1/2.9)

To find the solution, we can either use a calculator to find the value of x or continue the calculations until a numeric solution is reached.