Find the discriminant of the following quadratic equation then state the number of rational, irrational, and imaginary solutions
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Equation: −6x2−6=−7x−9
Discriminant: Answer
Solutions:
       
      
                
     
    
    
    
    
    2 answers:
            
              
              
                
                
Answer:
- -6x² - 6 = -7x - 9
- -6x² + 7x - 6 + 9 = 0
- -6x² + 7x + 3 = 0
- 6x² - 7x - 3 = 0
<u>Discriminant:</u>
- D = (-7)² - 4*6*(-3) = 49 + 72 = 121
<u>Since D > 0, there are 2 real solutions:</u>
- x = (- (-7) ±√121 )/12
- x = (7 ± 11)/12
- x = 1.5, x = -1/3
 
                                
             
                    
              
              
                
                
GIVEN:
- <u>Equation</u>:— – 6x² – 6 = – 7x – 9
ANSWER:
On simplifying equation, we get 
- – 6x² + 7x – 6 + 9 = 0
- – 6x² + 7x + 3 = 0
- 6x² – 7x – 3 = 0
Discriminant(D) = b² – 4ac
- (–7)² – 4 × 6 × – 3
- 49 + 72
- 121
Since, D > 0 Then it has real solutions. 
x = – b ± √D/2a
- –(–7) ± √121/2 × 6
- 7 ± 11/12
- 3/2 or –1/3.
 
                                
             
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Step-by-step explanation: