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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.

 Sep 19, 2024
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Find all values of $x$ such that $x^2 - 5x + 4 = -x^2 - 25x - 14$.  

 

                                                   x2 – 5x + 4  =  –x2 – 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   

.   

 Sep 19, 2024

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