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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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    •  Analog Employees  
    
            
			                            
                                                                                                                        
            
				
			
            
												
						in reply to gpiarino
					
									
    
	
    

		
		
    
					
    By substitution, you get y*y-9*y-9=0, with y=a*a. By solving, you get y1=9.9083 and y2=-0.9083.
    

    y2 is not acceptable, then you get a=+/- 3.1477 and b=3/a=+/-0.953
    
			
    

		
			
	      

		
		
	
    
	
    
		
    
			
		
    
	
    
	
    
		
						
				
				
						
				
				
		
		
    
			
		
    
	
    

    

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    •  Analog Employees  
    
            
			                            
                                                                                                                        
            
				
			
            
												
						in reply to gpiarino
					
									
    
	
    

		
		
    
					
    Thank you Gaetano! As recommended by our Engineer Zone administrators, the final answers will be confirmed later (just before the new quiz launch; this always in order to not influence or perturb our other participants who are still trying to answer...
    
			
    

		
			
	      

		
		
	
    
	
    
		
    
			
		
    
	
    
	
    
		
						
				
				
						
				
				
		
		
    
			
		
    
	
    

    

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