babylightblueyoshi babylightblueyoshi
  • 19-07-2022
  • Mathematics
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Evaulate u^2-4u+2 when u=-2

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LammettHash
LammettHash LammettHash
  • 19-07-2022

You can just replace [tex]u[/tex] with 2:

[tex]2^2 - 4\times2 + 2 = 4 - 8 + 2 = \boxed{-2}[/tex]

Alternatively, you can complete the square.

[tex]u^2 - 4u + 2 = u^2 - 4u + 4 - 2 = (u-2)^2 - 2[/tex]

When [tex]u=2[/tex], the quadratic term vanishes and we again get -2.

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