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Find all values of $x$ such that $x^2 - 5x + 4 = -x^2 - 25x - 14$. If you find more than one value, then list your solutions, separated by commas.

 Aug 29, 2024
 #1
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                                                    x^2 - 5x + 4 = -x^2 - 25x - 14   

 

                                                    2x2 + 20x + 18  =  0     

 

                                                      x2 + 10x + 9  =  0    

 

                                                      (x + 1)(x + 9)  =  0    

 

                                                                 (x + 1) = 0     ==>>     x = –1    

                                                                 (x + 9) = 0     ==>>     x = –9    

 

                                                                  x = –1, –9    

.   

 Aug 29, 2024

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