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SOMEBODY HELP ME PLEASE ""What is wrong with the solution: x(x+3)=9 x=9 or x+3=9 x=6 So, the roots are 6 & 9"" i dont understand
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Suppose \(x=9\) is a solution. Does the equation still hold? \[9(9+3)=9~~?\]
The answer is no. You can only apply the step you used if the equation were equal to 0. What you should have done: \[x(x+3)-9=0\\ x^2+3x-9=0\] Then find the roots by factoring or applying the quadratic formula.
using the zero product rule the function has to be equal to zero in order to solve for example x(x+3)=0 x=0 and x=-3 x(x+3)=9<----not equal to zero
Thank you to yall!!!!
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