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Pavlova-9 [17]
3 years ago
9

Find x if L is between N and M, and NL = (6x - 5), LM = (2x + 3), and NM = (3x+13)?

Mathematics
1 answer:
anastassius [24]3 years ago
3 0

Answer:

x = 3

Step-by-step explanation:

Here, we want to find the value of x

By mathematical convention;

NM = NL + LM

Now, substitute individual values

3x + 13 = (6x-5) + (2x + 3)

3x + 13 = 6x-5 + 2x + 3

3x + 13 = 8x -2

Collect like terms

8x -3x = 13 + 2

5x = 15

x = 15/5

x = 3

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Step by step explanation

Here we use the rational root theorem.

The possible roots are

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We have to use the synthetic division to find the correct root of this function.

Here the roots are 5/2 and -1/3

Others are not roots of this function.

Let's check x = 5/2  with synthetic division.

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-               15    5    45    15

           --------------------------

             6     2   18     6     0

Similarly x = -1/3 is also root of this function.

Answer: C. (5/2, -1/3)


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