SAT Math Problem (21)

Question

If the expression ((n²-9)/(n²+3)) is equivalent to the expression 1-((k)/(n²+3)) for all values of n, what is the value of k?

Answer 1

k = 12

 

multiplying through by (n² + 3) gives:

(n² - 9)= (n² + 3) - k

 

(n² - 9) - (n² + 3) = -k

 

-12 = -k

k = 12