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05-05-2021
Mathematics

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Determine the number of real solutions of the following system.

y = x2 + 3x − 2
y = 4x − 1

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EPSTER1 EPSTER1

05-05-2021

Answer:

2 real solutions

Step-by-step explanation:

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

[tex]y=4x-1[/tex]

[tex]x^2+3x-2=4x-1[/tex]

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

[tex]x^2-x-1=0[/tex]

[tex]x=\frac{1 +-\sqrt{1-4*1*(-1)} }{2}[/tex]

[tex]x=\frac{1+-\sqrt{5}}{2}[/tex]

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