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solution to the system
y=-x2-3x+2
y=x+6


Sagot :

Answer:

[tex]x=-2,y=4[/tex]

Step-by-step explanation:

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

[tex]y=x+6[/tex]

[tex]x+6=-x^2-3x+2[/tex]

[tex]x^2+x+6=-3x+2[/tex]

[tex]x^2+4x+6=2[/tex]

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

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

[tex]x=-2[/tex]

[tex]y=(-2)+6=4[/tex]