(x+7)^2+9=0
Find x with quadratics
       
      
                
     
    
    
    
    
    2 answers:
            
              
              
                
                
Answer:
x = -7 ±3i 
Step-by-step explanation:
(x+7)^2+9=0
Subtract 9 from each side
(x+7)^2+9-9=0-9
(x+7)^2=-9
Take the square root of each side
sqrt((x+7)^2) = ±sqrt(-9)
We know sqrt(ab) = sqrt(a) sqrt(b)
x+7 = ±sqrt(-1) sqrt(9)
We know that sqrt(-1) is the imaginary number i
x+7 = ±i *3
x+7 =±3i 
Subtract 7 from each side
x+7-7 = -7 ±3i 
x = -7 ±3i 
 
                                
             
                    
              
              
                
                
Answer:
x = -7 + 3i, -7 - 3i
Step-by-step explanation:
(x + 7)² + 9 = 0
(x + 7)² = -9
(x + 7) = +- 3i
x + 7 = 3i
x = -7 + 3i
x + 7 = -3i
x = -7 - 3i
x = -7 +- 3i
 
                                
             
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