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........................................-example-1

2 Answers

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\\ \sf\longmapsto (x-11)^2=72


\\ \sf\longmapsto x-11=√(72)


\\ \sf\longmapsto x-11=\pm 8.48


\\ \sf\longmapsto x=11-8.48\:or\:11+8.48


\\ \sf\longmapsto x\approx 2.52\:or\:19.48(Approximate)


\\ \sf\longmapsto x=3\:or\:19(Exact)

User Jeff Vdovjak
by
4.0k points
1 vote

Explanation:

  • (x - 11)² = 72
  • x - 11 = ± √72
  • x = 11 ± √72

The exact solutions are: x = 11 + √72 and x = 11 - √72

The approximate solutions are: x = 19.49 and x = 2.51

User Sergio Viudes
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3.7k points