astrowrldz astrowrldz
  • 10-01-2021
  • Mathematics
contestada

What is the x-value at which the graphs of y = x2 – 2x + 1 and y = x2 + 2x – 7 inter-
sect?

Respuesta :

minhkhan
minhkhan minhkhan
  • 10-01-2021

Answer:

x = 2

Step-by-step explanation:

Both equations are equal to y, so they're also equal to each other.  We then set them equal to each other:

x^2 - 2x + 1  =  x^2 + 2x - 7

We now do algebra to isolate x.  Subtract 1 from both sides.

x^2 - 2x  =  x^2 + 2x - 8

Subtract 2x from both sides.

x^2 - 4x  =  x^2 - 8

Subtract x^2 from both sides.

-4x = -8

Divide both sides by -4.

x = 2

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