The equation +
= 2 has exactly how many roots?
A) none
B) one
C) two
D) three
E) four

Question

The equation  + 
= 2 has exactly how many roots?
A) none 
B) one 
C) two 
D) three 
E) four

Quizplus · Accepted Answer

The equation given is a sum of two terms with a common factor of (TB6578_11)^2. This factor can be factored out to get (TB6578_11)^2(11ea83f6_62b5_3eca_b5a5_67bb7721bc6f + 11ea83f6_62b5_3ecb_b5a5_43a0ab8a9c95) = 2. Since (TB6578_11)^2 is always positive and the sum in the brackets is also a positive number, it is clear that there are no real or complex roots to this equation. Therefore, the answer is A) none.

The Equation