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Dovator [93]
3 years ago
9

!50 POINTS!

Mathematics
1 answer:
Strike441 [17]3 years ago
6 0

Answer:

  • A. 0

Step-by-step explanation:

<u>Given inequality:</u>

  • 6 > z(10 - z)

<u>Solution:</u>

  • 6 > 10z - z²
  • z² - 10z + 6 > 0
  • z² - 10z + 25 > 19
  • (z - 5)² > 19
  • z - 5 > √19 ⇒ z > 5 + √19 ⇒ z > 9.35
  • z - 5 < - √19 ⇒ z < 5 - √19 ⇒ z < 0.64

The only number satisfying this inequality is 0.

Correct choice is A

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