Which two points satisfy y = -x2 + 2x + 4 and x + y = 4?

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20-05-2015
Mathematics

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Which two points satisfy y = -x2 + 2x + 4 and x + y = 4?

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darth666 darth666 · Answer 1 · 2015-05-20T07:49:50-04:00

darth666 darth666

20-05-2015

[tex]y=-x^2+2x+4[/tex]
[tex]x+y=4[/tex]
[tex]y=4-x[/tex]
[tex]4-x=-x^2+2x+4[/tex]
[tex]x^2-3x=0[/tex]
[tex]x(x-3)=0[/tex]
x=0 or x =3

for x = 0 y = 4
for x = 3 y = 1

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