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MrRoyal

The graph of the solution to the equation -x² - 6x + 5 = 2x + 5 is the graph (3)

How to determine the graph that solves for x?

The equation is given as:

-x² - 6x + 5 = 2x + 5

Split the equation into system of equations

y = -x² - 6x + 5

y = 2x + 5

The above means that the solution of x is in the graph of y = -x² - 6x + 5 and y = 2x + 5

The graph of y = -x² - 6x + 5 is represented in (3) and y = 2x + 5 is also represented in (3)

Hence, the graph of the solution to y = -x² - 6x + 5 and y = 2x + 5 is (3)

Read more about system of equations at:

https://brainly.com/question/14323743

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Answer:

x ≈ 1.25.

Step-by-step explanation:

First, write the left side and right side of the given equation as separate functions of x.

To find the point that corresponds to the solution of f(x) and g(x), graph both functions using graphing technology, and find the location where the functions intersect. The x-value of the point of intersection corresponds to the solution.

The functions f(x) and g(x) are graphed below.

The graphs intersect approximately one-fourth of the way between x = 1 and x = 2.

So, the solution for the equation is x ≈ 1.25.

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