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Secondary III • 5mo.
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This is semi linear system and I don't know what to do

Mathematics
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Explanations (1)

  • Explanation from Alloprof

    Explanation from Alloprof

    This Explanation was submitted by a member of the Alloprof team.

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    Team Alloprof • 5mo.

    Hello Red Ruby!

    Thank you for asking us your question!

    In this case, you can solve this as a system of equations. You can assume that y = y to compare both equations as below:

    $$ y = y \Rightarrow 2x - 1 = (x+6)^2 + 11 $$

    You can then isolate all the equations on one side to have an equation following the format \( 0 = ax^2 + bx + c \). You can then find the value for \( b^2 - 4ac \) to determine of the system will admit one, two or no solutions.

    You can follow the link below to look at similar examples:

    Feel free to reach out if you have any other questions!