What is the solution of the equation −x2.9=−3.?

9 answers

To solve the equation \(-x^{2.9} = -3\), we can start by eliminating the negative signs on both sides. This gives us:

\[ x^{2.9} = 3 \]

Next, to solve for \(x\), we will need to raise both sides of the equation to the power of \(\frac{1}{2.9}\):

\[ x = 3^{\frac{1}{2.9}} \]

Using a calculator, we can compute \(3^{\frac{1}{2.9}}\):

\[ x \approx 1.360 \]

Since \(x^{2.9}\) can also yield a negative value (because \(x\) can be negative), we should also consider the negative root:

\[ x = -3^{\frac{1}{2.9}} \approx -1.360 \]

Thus, the solutions for the equation \(-x^{2.9} = -3\) are:

\[ x \approx 1.360 \quad \text{and} \quad x \approx -1.360 \]

So what’s the answer

The solutions to the equation \(-x^{2.9} = -3\) are:

\[ x \approx 1.360 \quad \text{and} \quad x \approx -1.360 \]

In summary, the two answers are:

  1. \(x \approx 1.360\)
  2. \(x \approx -1.360\)
What is the solution of the equation −x/2.9=−3?

To solve the equation

\[ -\frac{x}{2.9} = -3, \]

we can first eliminate the negative signs on both sides:

\[ \frac{x}{2.9} = 3. \]

Next, to solve for \(x\), we can multiply both sides by \(2.9\):

\[ x = 3 \times 2.9. \]

Calculating the right side:

\[ x = 8.7. \]

Thus, the solution to the equation is

\[ \boxed{8.7}. \]

What is the solution of the equation  8/5x = −10

To solve the equation

\[ \frac{8}{5}x = -10, \]

we can start by isolating \(x\). First, multiply both sides by \(\frac{5}{8}\) to get rid of the fraction:

\[ x = -10 \cdot \frac{5}{8}. \]

Now, calculate the right side:

\[ x = -\frac{50}{8}. \]

Simplifying \(-\frac{50}{8}\):

\[ x = -\frac{25}{4}. \]

Thus, the solution to the equation is

\[ \boxed{-\frac{25}{4}} \quad \text{or} \quad -6.25. \]

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