x=2 is only solution while x=1 is extraneous solution
Option C is correct.
Step-by-step explanation:
We need to solve the equation
and find values of x.
Solving:
Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)
Multiply the entire equation with x(x-1)

Now, factoring the term:

The values of x are x=1 and x=2
Checking for extraneous roots:
Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.
If we put x=1 in the equation,
the denominator becomes zero i.e
which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.
If we put x=2 in the equation,


So, x=2 is only solution while x=1 is extraneous solution
Option C is correct.
Keywords: Solving Equations and checking extraneous solution
Learn more about Solving Equations and checking extraneous solution at:
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Answer:
2520 patterns
Step-by-step explanation:
In 'n' 10! ways, books can be arranged. But, there are also 5! permutation of blue books 'n1', 2! permutation of identical green books 'n2', and 3! permutation identical black books 'n3'.
Therefore, for non identical arrangements:

= 2520
Therefore, the books can be arranged on a shelf in 2520 patterns
P=2
Work:
<span><span><span>7p</span>−<span>(<span><span>3p</span>+4</span>)</span></span>=<span><span>−<span>2<span>(<span><span>2p</span>−1</span>)</span></span></span>+10</span></span><span><span><span>7p</span>−<span>(<span><span>3p</span>+4</span>)</span></span>=<span><span>−<span>2<span>(<span><span>2p</span>−1</span>)</span></span></span>+10</span></span><span><span><span>7p</span>+<span><span>−1</span><span>(<span><span>3p</span>+4</span>)</span></span></span>=<span><span>−<span>2<span>(<span><span>2p</span>−1</span>)</span></span></span>+10</span></span><span><span><span><span>7p</span>+<span><span>−1</span><span>(<span>3p</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(4)</span></span></span>=<span><span>−<span>2<span>(<span><span>2p</span>−1</span>)</span></span></span>+10</span></span><span><span><span><span><span><span>7p</span>+</span>−<span>3p</span></span>+</span>−4</span>=<span><span>−<span>2<span>(<span><span>2p</span>−1</span>)</span></span></span>+10</span></span><span><span><span><span><span><span>7p</span>+</span>−<span>3p</span></span>+</span>−4</span>=<span><span><span><span>(<span>−2</span>)</span><span>(<span>2p</span>)</span></span>+<span><span>(<span>−2</span>)</span><span>(<span>−1</span>)</span></span></span>+10</span></span><span><span><span><span><span><span>7p</span>+</span>−<span>3p</span></span>+</span>−4</span>=<span><span><span>−<span>4p</span></span>+2</span>+10</span></span><span><span><span>(<span><span>7p</span>+<span>−<span>3p</span></span></span>)</span>+<span>(<span>−4</span>)</span></span>=<span><span>(<span>−<span>4p</span></span>)</span>+<span>(<span>2+10</span>)</span></span></span><span><span><span>4p</span>+<span>−4</span></span>=<span><span>−<span>4p</span></span>+12</span></span><span><span><span>4p</span>−4</span>=<span><span>−<span>4p</span></span>+12</span></span><span><span><span><span>4p</span>−4</span>+<span>4p</span></span>=<span><span><span>−<span>4p</span></span>+12</span>+<span>4p</span></span></span><span><span><span>8p</span>−4</span>=12</span><span><span><span><span>8p</span>−4</span>+4</span>=<span>12+4</span></span><span><span>8p</span>=16</span><span><span><span><span><span>8p</span>8</span></span></span>=<span><span><span>168</span></span></span></span><span>p=<span>2
Hope this helps:)</span></span>
Answer: a. yes, one pair of opposite sides could measure 10in., and the other pair could measure 13 in.
Step-by-step explanation: i just took it