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  • 23-02-2020
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9. W2 – 8w = 9
Solve the equation by completing square. Round your answer to the nearest hundredth

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dyancey22
dyancey22 dyancey22
  • 23-02-2020

w^2-8w=9

Let B= -8.

so we add (b/2)^2 =16 to both sides to complete the square

w^2-8w+16=9+16

w^2-8w+16=25

Step 2...Factor left side

(w-4)^2 =25

Step 3 Take the sqare root

w-4=± [tex]\sqrt{25[/tex]

Step 4 :Add 4 to both sides

w-4+4=4+[tex]\sqrt{25[/tex]

w=4± [tex]\sqrt{25}[/tex]

w=4+5 or w= 4-5

w=9 orv w= -1

Answer w= 9 or w = -1

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