SOLUTION: Hi, I have to solve the following equation:
3/x+ 5/x+2 = 2
^ Ive had trouble searching information on these types of equations because in the 5/x+2 part the '2'
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Expressions-with-variables
-> SOLUTION: Hi, I have to solve the following equation:
3/x+ 5/x+2 = 2
^ Ive had trouble searching information on these types of equations because in the 5/x+2 part the '2'
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Question 983667: Hi, I have to solve the following equation:
3/x+ 5/x+2 = 2
^ Ive had trouble searching information on these types of equations because in the 5/x+2 part the '2' is actually in the denominator, not beside the fraction, but all search engines pick it as being to the right.
What I tried was multiplying both sides by x to get 3+5/2= 2 and then solving it, but I don't think I'm allowed to cancel out the x from x+2 in this way. Any help would be much appreciated. Found 2 solutions by solver91311, josmiceli:Answer by solver91311(24713) (Show Source):
In order to add two fractions with dissimilar denominators, you need a common denominator. Since there are no common factors between these two denominators, the lowest common denominator is simply the product of the two denominators. Hence:
Multiply both sides by the now common denominator, collect like terms, put the quadratic into standard form, namely , and then solve by any convenient means.
John
My calculator said it, I believe it, that settles it
You can put this solution on YOUR website! Is this the problem:
If so, multiply both sides by
Divide both sides by
By looking at this, I see the solution is:
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Check solutions by plugging them back into
the original problem
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