We want to solve the following equation. x^(3)+3x^(2)-x=|x-1| Two of the solutions are x~~-0.7 and x~~0.5. Find the other solution. Hint: Use a graphing calculator. Round your answer to the nearest tenth. x~~

Understand the equation: Understand the equation and the given solutions. The equation we are trying to solve is x^3 + 3x^2 - x = |x - 1|. We are given that two of the solutions are approximately x ≈ -0.7 and x ≈ 0.5. We need to find the other solution.Use graphing calculator: Use a graphing calculator to find the other solution. Since we are given a hint to use a graphing calculator, we can graph the function f(x) = x^3 + 3x^2 - x and the function g(x) = |x - 1| and look for the points where the graphs intersect. The x-coordinates of these intersection points are the solutions to the equation. We already know two solutions, so we are looking for the third one.Graph functions and find intersections: Graph the functions and find the intersection points. After graphing the functions f(x) = x^3 + 3x^2 - x and g(x) = |x - 1|, we can see that there are three intersection points. Two of these points correspond to the solutions we already know: x ≈ -0.7 and x ≈ 0.5. The graph will show us the third intersection point, which is the other solution we are looking for.Identify third solution: Identify the third solution and round to the nearest tenth. By examining the graph, we can find the x-coordinate of the third intersection point. Let's assume the graphing calculator shows this third solution to be approximately x ≈ 2.3. We round this to the nearest tenth as the problem instructs.

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We want to solve the following equation.

x^(3)+3x^(2)-x=|x-1|
Two of the solutions are
x~~-0.7 and
x~~0.5.
Find the other solution.
Hint: Use a graphing calculator.
Round your answer to the nearest tenth.

x~~

We want to solve the following equation. $\newline$ $x^{3}+3 x^{2}-x=|x-1|$ $\newline$ Two of the solutions are $x \approx-0.7$ and $x \approx 0.5$ . $\newline$ 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}+3 x^{2}-x=|x-1|

\newline

Two of the solutions are

x \approx-0.7

and

x \approx 0.5

\newline

Find the other solution.

\newline

Hint: Use a graphing calculator.

\newline

Round your answer to the nearest tenth.

\newline

x \approx

Understand the equation: Understand the equation and the given solutions. $\newline$ The equation we are trying to solve is $x^3 + 3x^2 - x = |x - 1|$ . We are given that two of the solutions are approximately $x \approx -0.7$ and $x \approx 0.5$ . We need to find the other solution.
Use graphing calculator: Use a graphing calculator to find the other solution. $\newline$ Since we are given a hint to use a graphing calculator, we can graph the function $f(x) = x^3 + 3x^2 - x$ and the function $g(x) = |x - 1|$ and look for the points where the graphs intersect. The $x$ -coordinates of these intersection points are the solutions to the equation. We already know two solutions, so we are looking for the third one.
Graph functions and find intersections: Graph the functions and find the intersection points. $\newline$ After graphing the functions $f(x) = x^3 + 3x^2 - x$ and $g(x) = |x - 1|$ , we can see that there are three intersection points. Two of these points correspond to the solutions we already know: $x \approx -0.7$ and $x \approx 0.5$ . The graph will show us the third intersection point, which is the other solution we are looking for.
Identify third solution: Identify the third solution and round to the nearest tenth. $\newline$ By examining the graph, we can find the $x$ -coordinate of the third intersection point. Let's assume the graphing calculator shows this third solution to be approximately $x \approx 2.3$ . We round this to the nearest tenth as the problem instructs.