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Alenkinab [10]
3 years ago
9

Solve for z: 11=6|-2z| -5

Mathematics
1 answer:
skad [1K]3 years ago
3 0

Answer:

the roots are {-4/3, 4/3}

Step-by-step explanation:

Begin the solution of 11=6|-2z| -5 by adding 5 to both sides:

11=6|-2z| -5 becomes 16 = 6|-2z|.

Dividing both sides by 12 yields

16/12 = |-z|

There are two cases here:  first, that one in which z is positive and second the one in which z is negative.

If z is positive, 4/3 = -z, and so z = -4/3, and:

If z is negative, 4/3 = z

Thus the roots are {-4/3, 4/3}

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