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Stella [2.4K]
3 years ago
14

Solve by completing a square r^2-8r+9

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

Solving  r^2-8r+9 by completing a square gives (r+4)^2-7

Step-by-step explanation:

We need to solve the equation r^2-8r+9 by completing a square

The completing a square method requires: a^2\pm 2ab +b^2=(a\pm b)^2

Solving:

r^2-8r+9\\=(r)^2-2(r)(?)+(?)^2+9

We need to add and subtract (4)^2=16 to make the equation a complete square

=(r)^2-2(r)(4)+(4)^2-(4)^2+9\\=(r)^2-2(r)(4)+(4)^2-16+9\\=(r)^2-2(r)(4)+(4)^2-7\\=(r+4)^2-7

So, Solving  r^2-8r+9 by completing a square gives (r+4)^2-7

Keywords: Solve by completing a square

Learn more about Solve by completing a square at:

  • brainly.com/question/7932185
  • brainly.com/question/1414350
  • brainly.com/question/1464739

#learnwithBrainly

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Answer:

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Step-by-step explanation:

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