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Mathematics 10 Online
OpenStudy (anonymous):

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Vocaloid (vocaloid):

start by setting the two equations equal to each other.

Vocaloid (vocaloid):

x^2 + 3 = x + 5

Vocaloid (vocaloid):

yeah, we can do that.

Vocaloid (vocaloid):

x^2 = x + 2

Vocaloid (vocaloid):

then move everything to one side x^2 - x - 2 = 0 then factor.

Vocaloid (vocaloid):

good, that gives us x = -1 and x = 2 now we use the equation y = x + 5 to find the matching y values

Vocaloid (vocaloid):

y = x + 5 plug in x = -1 and x = 2 separately

Vocaloid (vocaloid):

x = -1 gives us y = 4 x = 2 gives us y = 7

Vocaloid (vocaloid):

so our answers are (-1,4) and (2,7)

Vocaloid (vocaloid):

uh, sure I'll try x^2 + 3 = x + 5 x^2 = x + 2 x^2 - x - 2 = 0 (x+1) (x-2) = 0 x = -1, y = x + 5 = -4 x = 2, y = x + 5 = 7 final answer: (-1,4) and (2,7) like that?

Vocaloid (vocaloid):

sure, lets make a new post.

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