Question 1009865: Solve the equation and show the check of the potential answer(s). If any answers are excluded values, state this on your answer sheet. Please show work.
(5)/(x^2+3x-4)+1=(x^2+7x+10)/(x^2+3x-4)
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! 
Distributive property and simplification on the left member
and then arrange for all terms to be on one side
Rational Roots Theorem and synthetic division, to check for roots, based on the
possibilities of -1, -2, 1, 2. You expect possible four roots.
The roots were checked, done on paper, not shown here, and none of those worked as roots. Best to try a graphing tool, software. When done as so, two real roots; one about 0.0718, and another about 1.794. These would be decimal approximations of irrational roots.
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