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A funny algebra puzzle!



		

			

									
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  •  Analog Employees  

			
			
			    	
			                    
                
				                on Feb 20, 2023 
				
			
			
		


				
		

		    		    
		    
		    	
			




 


a and b are real numbers


We have the following expressions:


a² - b² = 9


a.b = 3


Question: what are the value(s) for a and b ?


Good luck! And try to be among the first ones!

										


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[edited by: emassa at 2:37 PM (GMT -5) on 20 Feb 2023]
				

						
			        
		


				
						
        

    
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                on Feb 20, 2023 12:06 PM
            
            
					
      
	
      

		
		
      
					
      Here we can form on equation that is (a+b) ^2 - (a-b) ^2 = 4ab, 
      

      And (a+b) = 9/(a-b) so one quadratic will be formed that is (9/(a-b)) ^2 - (a-b) ^2 = 12 . So after solving this we will get the value of a-b as 2.194 and then value of a+b will be 4.102 after precision. 
      

      Then we can find the value of a and b as 3.148 and 0.954.
      
			
      

		
			
	      

		
		
	
      
	
      
		
      
			
		
      
	
      
	
      
		
						
				
				
						
				
				
		
		
      
			
		
      
	
      

      

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                on Feb 20, 2023 12:06 PM
            
            
					
        
	
        

		
		
        
					
        Here we can form on equation that is (a+b) ^2 - (a-b) ^2 = 4ab, 
        

        And (a+b) = 9/(a-b) so one quadratic will be formed that is (9/(a-b)) ^2 - (a-b) ^2 = 12 . So after solving this we will get the value of a-b as 2.194 and then value of a+b will be 4.102 after precision. 
        

        Then we can find the value of a and b as 3.148 and 0.954.
        
			
        

		
			
	      

		
		
	
        
	
        
		
        
			
		
        
	
        
	
        
		
						
				
				
						
				
				
		
		
        
			
		
        
	
        

        

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