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Which represents the solution(s) of the graphed system of equations, y = x2 – 2x and y = –2x – 1? (1, –1) (0, 0) and (0, –1) (0, 0) and (2, 0) no solutions

Respuesta :

texaschic101
y = x^2 - 2x
y = -2x - 1

x^2 - 2x = -2x - 1
x^2 - 2x + 2x + 1 = 0
x^2 + 1 = 0
x^2 = -1
x = square root (-1).........NO SOLUTIONS

There is no solution to the graphed system of equations.

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graphed system of equations:

[tex]\rm y = x^2-2x[/tex]  and

[tex]\rm y = -2x-1[/tex]

To find the solution for both equations we must find the intersection point at which the equation will be satisfied.

Let's suppose the intersection point is (a, b)

Plug this point in the graphed equations and equate it:

[tex]\rm b = a^2-2a\\\\\rm b = -2a-1\\\\a^2-2a = -2a-1[/tex]

[tex]\rm a^2 = -1[/tex]

The above equation has no real solution, therefore there will be no intersection point.

Thus, there is no solution to the graphed system of equations.

Learn more about the function here:

brainly.com/question/5245372

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