SOLUTION: Could you please help me with this equation? The solution manual says the answer is x=1 but I am getting x = 1 and x= - 4.
Could you please help me understand why - 4 is not a so
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Question 1196335: Could you please help me with this equation? The solution manual says the answer is x=1 but I am getting x = 1 and x= - 4.
Could you please help me understand why - 4 is not a solution? I checked it and it doesn't seem to be an extraneous solution. Would be a huge help if you could please include an explanation for the steps.
Would greatly appreciate your help.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
You want to know why -4 is not a solution.
Did you try to test this value?
Work with that and see what happens.
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.
It is BECAUSE if you substitute x= -4 into left side expression,
you will get the number under square root (-4)^2 +5*(-4) = 16 - 20 = -4.
But negative numbers are not allowed under square root - - - THEREFORE, we REJECT x= - 4.
The same is with the right side expression: it does not allow x= -4.
So, x= -4 is an extraneous solution.
Hope, everything is clear now.
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