We want to solve the following equation. x^(3)-4x=2^(x) Three of the solutions are x~~-2.0,x~~-0.2, and x~~9.8. Find the other solution. Hint: Use a graphing calculator. Round your answer to the nearest tenth. x~~

Understand the problem: Understand the problem. We need to find another solution to the equation x^3 - 4x = 2^x. We are given that there are at least four solutions, and we know three of them. To find the other solution, we can use a graphing calculator to plot both sides of the equation and look for the point where they intersect.Use a graphing calculator: Use a graphing calculator. Plot the function f(x) = x^3 - 4x on the graphing calculator. Then plot the function g(x) = 2^x on the same graph. Look for the intersection points of the two functions. We already know three of the solutions, so we are looking for any additional points where the two graphs intersect.Identify the other solution: Identify the other solution. After plotting both functions on the graphing calculator, we should see all the intersection points. Since we already know the approximate values of three solutions, we can ignore those and focus on finding any other point of intersection. If there is another solution, it should be visible on the graph.Approximate the other solution: Approximate the other solution. Using the graphing calculator's intersection feature or by zooming in on the graph, we can approximate the value of the other solution. Make sure to round the answer to the nearest tenth as instructed.

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We want to solve the following equation.

x^(3)-4x=2^(x)
Three of the solutions are
x~~-2.0,x~~-0.2, and
x~~9.8.
Find the other solution.
Hint: Use a graphing calculator.
Round your answer to the nearest tenth.

x~~

We want to solve the following equation. $\newline$ $x^{3}-4 x=2^{x}$ $\newline$ Three of the solutions are $x \approx-2.0, x \approx-0.2$ , and $x \approx 9.8$ . $\newline$ Find the other solution. $\newline$ Hint: Use a graphing calculator. $\newline$ Round your answer to the nearest tenth. $\newline$ $x \approx$

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Math Problems

Grade 8

Write linear functions: word problems

Full solution

Q. We want to solve the following equation.

\newline

x^{3}-4 x=2^{x}

\newline

Three of the solutions are

x \approx-2.0, x \approx-0.2

, and

x \approx 9.8

\newline

Find the other solution.

\newline

Hint: Use a graphing calculator.

\newline

Round your answer to the nearest tenth.

\newline

x \approx

Understand the problem: Understand the problem. $\newline$ We need to find another solution to the equation $x^3 - 4x = 2^x$ . We are given that there are at least four solutions, and we know three of them. To find the other solution, we can use a graphing calculator to plot both sides of the equation and look for the point where they intersect.
Use a graphing calculator: Use a graphing calculator. $\newline$ Plot the function $f(x) = x^3 - 4x$ on the graphing calculator. Then plot the function $g(x) = 2^x$ on the same graph. Look for the intersection points of the two functions. We already know three of the solutions, so we are looking for any additional points where the two graphs intersect.
Identify the other solution: Identify the other solution. $\newline$ After plotting both functions on the graphing calculator, we should see all the intersection points. Since we already know the approximate values of three solutions, we can ignore those and focus on finding any other point of intersection. If there is another solution, it should be visible on the graph.
Approximate the other solution: Approximate the other solution. Using the graphing calculator's intersection feature or by zooming in on the graph, we can approximate the value of the other solution. Make sure to round the answer to the nearest tenth as instructed.