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disa [49]
3 years ago
9

How is everyone today? Just wanted to make sure everyone is alright

Mathematics
2 answers:
just olya [345]3 years ago
5 0

Answer:

not that good. struggling with depression and anxiety is hard

Step-by-step explanation:

mart [117]3 years ago
4 0

Answer:

Very good actually

Step-by-step explanation:

Because I ate CHICKEN NUGGETIES!!!!!

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Which of the following is an extraneous solution of (45-3x)^1/2=x-9?
Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

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Find the length of AB
ZanzabumX [31]
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Rounding I Got 52.7.
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A libary has 2000 books. there are 3 times as many non fiction books as fiction books. write and solve a system of equations to
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A: number of nonfiction books 
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