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pashok25 [27]
3 years ago
8

Mei is evaulating an expression using absolute value. Fonder her mistake and correct it. |-14|=14​

Mathematics
1 answer:
aleksley [76]3 years ago
3 0

The expression

|-14|=14

is actually correct: the absolute value takes a number as input, and outputs the positive version of that number.

If the input is negative it is turned into positive, if the input is positive it remains the same.

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How many extraneous solutions does the equation below have?
FrozenT [24]

<u>Answer</u>

0


<u>Explanation</u>

(2m)/(2m+3)-(2m)/(2m-3)=1

Simplifying the left hand first

(2m)/(2m+3)-(2m)/(2m-3) = {2m(2m-3) - 2m(2m+3)}/(4m²-9)

                                        (4m²-6m-4m²-6m)/(4m²-9)

                                         = (-12m) / (4m²-9)

Now this equet to 1

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4m²+ 12m -9 =0 ⇒⇒⇒ This is a quadratic equation that has 2 real solutions.

4m²+ 12m -9 =0

m² + 3m + (3/2)²= 9/4 + 9/4

(m + 3/2)² = 18/4

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    = 0.621                                       = -3.621

So we can say that the equation has NO extraneous solutions.

Answer = 0

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