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Setler79 [48]
2 years ago
7

Can u plsss help if you d tysm!!

Mathematics
1 answer:
stich3 [128]2 years ago
8 0
2,2,and2 because there are 2 sides of a coin, 2 cards, and 2 marbles
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Riley makes a mistake in step 2 while doing her homework. What was her mistake? StartFraction x Over x squared minus 5 x + 6 End
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Answer:

The answer is:

She used the wrong common denominator

Step-by-step explanation:

Solving the given equation

\frac{x}{x^2-5x+6}+\frac{x}{x+3}\\\\Step 1: \frac{x}{(x-2)(x-3)}+\frac{x}{x+3}\\Step2: \frac{x}{(x-2)(x-3)}+\frac{x(x-2)}{(x-2)(x+3)}\\Step3:\frac{x(x+3)+x(x-2)(x+3)}{(x-2)(x-3)(x+3)}

Lets consider the steps given in the question:

Step2: \frac{x}{(x-2)(x+3)}+\frac{3(x-2)}{(x-2)(x+3)}

Step3: \frac{x+3(x-2)}{(x-2)(x+3)}\\

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.

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Step-by-step explanation:

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