Question

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

Answer 1

Answer :
`x^2 - 2x - 1 = -x^2 + 3`

`x^2 - 2x - 1 = -x^2 + 3`

`x^2 + x^2 - 2x - 1 = -x^2 + x^2+ 3`

`2x^2 - 2x - 1 = + 3`

`2x^2 - 2x - 1-3 = + 3-3`

`2x^2 - 2x - 4 =0`

`(2x^2 -4x) + (2x - 4) =0`

`2x(x -2) +2 (x - 2) =0`

`(x -2) (2x + 2) =0`

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.