Which quadratic equation is equivalent to open paren x squared minus 1 close paren squared minus 11 times open paren x squared minus 1 close paren plus 24 is equal to 0 ?
Answer
A
open paren u squared close paren squared minus 11 times open paren u squared close paren plus 24 where u is equal to open paren x squared minus 1 close paren
B
open paren u squared minus 1 close paren squared minus 11 times open paren u squared minus 1 close paren plus 24 where u is equal to open paren x squared minus 1 close paren
C
u squared minus 11 u plus 24 is equal to 0 where u is equal to open paren x squared minus 1 close paren
D
u squared plus 1 minus 11 u plus 24 is equal to 0 where u is equal to open paren x squared minus 1 close paren
Explanation
Let u = x² − 1. Then the original expression becomes u² − 11u + 24 = 0. This matches choice C, the quadratic equation u² − 11u + 24 = 0, with u defined as x² − 1.
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