Which quadratic equation is equivalent to open paren x minus 4 close paren squared minus open paren x minus 4 close paren minus 6 is equal to 0 ?
Answer
A
u squared minus u minus 6 is equal to 0 where u is equal to open paren x minus 4 close paren
B
u squared minus open paren u minus 4 close paren minus 6 is equal to 0 where u is equal to open paren x minus 4 close paren
C
open paren u minus 4 close paren squared minus open paren u minus 4 close paren minus 6 is equal to 0 where u is equal to open paren x minus 4 close paren
D
u squared minus 16 minus u minus 6 is equal to 0 where u is equal to open paren x minus 4 close paren
Explanation
Let u = x − 4, so each occurrence of (x − 4) becomes u. The equation becomes u² − u − 6 = 0, which is choice A.
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