SOLUTION: Need assistance please! I am asked to Solve a quadratic equation and show check of the potential answer's. Additionally, any excluded values should also be identified. a-4/a^

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Question 1126092: Need assistance please!
I am asked to Solve a quadratic equation and show check of the potential answer's. Additionally, any excluded values should also be identified.
a-4/a^2+5a -2/a+5=1/a^3+7a^2+10a
I worked through the problem and came up with a solution of a=-3.
Performing the check has me confused as I believe this is what will tell me if the values are excluded?
I did (-3+3)^2 which =0
I know 0 is an excluded value, but is the above the right approach or am I doing something wrong?
Thank you!
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!




=> since denominator cannot be equal to zero, cannot be equal to zero too
so, if , , or
therefore, we these solutions
















double solution is:



so, your solution is
and solutions are , or


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Need assistance please!
I am asked to Solve a quadratic equation and show check of the potential answer's. Additionally, any excluded values should also be identified.
a-4/a^2+5a -2/a+5=1/a^3+7a^2+10a
I worked through the problem and came up with a solution of a=-3.
Performing the check has me confused as I believe this is what will tell me if the values are excluded?
I did (-3+3)^2 which =0
I know 0 is an excluded value, but is the above the right approach or am I doing something wrong?
Thank you!
Your answer, - 3 is CORRECT!! Good work!



 ------------- Factoring denominators that can be factored

 ------------- Factoring denominator on right, further

We now see, based on the most previous equation that 

Since the answer that you got - which is correct - is NONE of the above restricted values for "a", then we can say that it is indeed the solution.

The only thing I see here that's wrong is your calculation of .

It's not part of any of the DENOMINATORS, so that's not how you check to see if your answer is CORRECT! 

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