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Which equation does the graph of the systems of equations solve?
A) x2 − 2x − 1 = −x2 + 3
B) x2 − 2x + 3 = x2 − x + 1
C) −x2 − 2x + 2 = 2x2 − x − 2
D) −x2 − 2x + 1 = 2x2 − x + 2

Which equation does the graph of the systems of equations solve A x2 2x 1 x2 3 B x2 2x 3 x2 x 1 C x2 2x 2 2x2 x 2 D x2 2x 1 2x2 x 2 class=

Respuesta :

Answer :[tex] x^2 - 2x - 1 = -x^2 + 3 [/tex]

[tex] x^2 - 2x - 1 = -x^2 + 3 [/tex]

[tex] x^2 + x^2 - 2x - 1 = -x^2 + x^2+ 3 [/tex]

[tex] 2x^2 - 2x - 1 = + 3 [/tex]

[tex] 2x^2 - 2x - 1-3 = + 3-3 [/tex]

[tex] 2x^2 - 2x - 4 =0 [/tex]

[tex] (2x^2 -4x) + (2x - 4) =0 [/tex]

[tex] 2x(x -2) +2 (x - 2) =0 [/tex]

[tex] (x -2) (2x + 2) =0 [/tex]

x - 2 =0 and 2x + 2 =0

x = 2 and x= -1

At intersection points the x values are -1 and 2

that satisfies our graph.

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