SOLUTION: Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer. c) ~2x^2 � 4x

SOLUTION: Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer. c) ~2x^2 � 4x - 7 ~2 = 0 (~ is to stand for

Question 198934: Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer.
c) ~2x^2 � 4x - 7 ~2 = 0
(~ is to stand for the square root sign, I had no other ideal how to put it on there)
Answer by J2R2R(94) (Show Source): You can put this solution on YOUR website!
~2x^2 - 4x - 7~2 = 0

~ means square root; +/- means plus or minus

a=~2; b=-4; c=-7~2

Using the b^2 - 4ac test, we have b^2 - 4ac = 16 -- 4*~2*7~2 = 16 + 56 = 72

Therefore as this is greater than 0 we have two real different roots.

The roots are (-b+/-~(b^2-4ac))/2a
Giving (4+/-~72)/2~2
which simplifies to ~2+/-3

The two roots are ~2+3 and ~2-3
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