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coleman4405
14.06.2020 •
Mathematics
Riley makes a mistake in step 2 while doing her homework. What was her mistake? StartFraction x Over x squared minus 5 x + 6 EndFraction + StartFraction x Over x + 3 EndFraction Step 1: StartFraction x Over (x minus 2)(x minus 3) EndFraction + StartFraction 3 Over x + 3 EndFraction Step 2: StartFraction x Over (x minus 2) (x + 3) EndFraction + 3 (x minus 2) Over (x minus 2) (x + 3) EndFraction Step 3: StartFraction x + 3 x minus 6 Over (x minus 2) (x + 3) EndFraction Step 4: StartFraction 4 x minus 6 Over (x minus 2) (x + 3) EndFraction She added the two fractions incorrectly. She used the wrong common denominator. She did not distribute the negative correctly. She did not multiply the first fraction by a factor.
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Ответ:
She used the wrong common denominator.
The given fraction is
And Riley answer is
Step 1:![\frac{x}{(x-3)(x+2)} +\frac{3}{x+3}](/tpl/images/0685/7073/53244.png)
Step 2:![\frac{x}{(x-2)(x+3)} +\frac{3(x-2)}{(x-2)(x+3}](/tpl/images/0685/7073/8b905.png)
Step 3:![\frac{x+3x-6}{(x-2)(x+3)}](/tpl/images/0685/7073/b7013.png)
Step 4:![\frac{4x-6}{(x-2)(x+3)}](/tpl/images/0685/7073/ec42e.png)
Here we see that Riley in step 2 Riley took the wrong denominator.
So, She used the wrong common denominator.
Learn more:link
Ответ:
The answer is:
She used the wrong common denominator
Step-by-step explanation:
Solving the given equation
Lets consider the steps given in the question:
Lets compare both solutions:
In the original solution, the denominator of first term is (x-2)(x-3)
In the solution given in the question, the denominator of first term is (x-2)(x+3).
So the mistake she did in step 2 was that she change the sign of 3 in (x-3) from negative to positive, due to which she gets the wrong common denominator shown in Step 3.
Ответ: