# SOLUTION: use the discriminant to determine whether the following equations have solutions that are: two different rational solutions;two different irrational solutions;exactly one rational

Algebra ->  Algebra  -> Equations -> SOLUTION: use the discriminant to determine whether the following equations have solutions that are: two different rational solutions;two different irrational solutions;exactly one rational       Log On

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 Click here to see ALL problems on Equations Question 335952: use the discriminant to determine whether the following equations have solutions that are: two different rational solutions;two different irrational solutions;exactly one rational solution;or two different imaginary solutions: could someone please help me with this problem? thank youAnswer by jim_thompson5910(28595)   (Show Source): You can put this solution on YOUR website! Start with the given equation. Get every term to the left side. Combine and rearrange the terms. From we can see that , , and Start with the discriminant formula. Plug in , , and Square to get Multiply to get Rewrite as Add to to get So the discriminant is Since the discriminant is greater than zero, this means that there are two real solutions. Since the discriminant is NOT a perfect square, this means that the two solutions are irrational. So the answer is "two different irrational solutions" If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my website. Jim