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| Question 198236:  Could you tell me please if these are correct.
 1. root12((-10))^12
 Answer N not a real number
 2. Use the foil method to find the product
 (9x^8-7)(x^9-5)=
 Answer 9x^17-7x9-45x^8+35
 3. For the following equation state the value of the disctiminant and then describle the nature of the solution
 12x^2-8x+7=0
 Answer -272
 4. Factor
 a^2+6a+9=
 Answer (a+3)^2
 Answer by jim_thompson5910(35256)
      (Show Source): 
You can put this solution on YOUR website! # 1 
 Is the expression
  ??? If so, then   
 
 On the other hand, if the expression is
  , then result is NOT a real number. Why? You CANNOT take an even root of a negative number and get a real number (eg you can't take the square root of -2). 
 
 
 
 # 2
 
 You are correct.
   
 
 
 
 
 # 3
 
 
 
 
 From
  we can see that  ,  , and   
 
 
  Start with the discriminant formula. 
 
 
  Plug in  ,  , and   
 
 
  Square  to get   
 
 
  Multiply  to get   
 
 
  Subtract  from  to get   
 
 Since the discriminant is less than zero, this means that there are two complex solutions.
 
 
 In other words, there are no real solutions.
 
 
 You got the right discriminant value, but you forgot to mention what that meant in terms of the number of solutions.
 
 
 
 
 
 # 4
 
 You are correct,
  factors to  . 
 
 You can verify the answer by
 
 a) Graphing
  and  on the same grid. You'll see that they are the same graph, or... 
 b) You can FOIL
  to get   
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