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devlian [24]
3 years ago
10

Rewrite the equation by completing the square. x^2 + 2x – 48 = 0

Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

Answer:

(x+1)^2 = 49

x = 6                 x = -8

Step-by-step explanation:

x^2 + 2x – 48 = 0

Add 48 to each side

x^2 + 2x =48

Take the coefficient of x

2

Divide by 2

2/2=1

Square it

1^2 =1

x^2 + 2x +1=48+1

x^2 +2x+1 = 49

(x+1)^2 = 49

Take the square root of each side

sqrt((x+1)^2) =±sqrt( 49)

x+1 = ±7

Subtract 1 from each side

x+1-1 = -1  ±7

x = -1+7          x = -1 -7

x = 6                 x = -8

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<h3>Answer: 104 degrees</h3>

================================

Work Shown:

Inscribed angle theorem

arc measure = 2*(inscribed angle)

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arc BCD = 194 degrees

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Break arc BCD into its smaller pieces

arc BCD = (minor arc BC) + (minor arc CD)

194 = (90) + (minor arc CD)

194-90 = minor arc CD

104 = minor arc CD

<h3>minor arc CD = 104 degrees</h3>
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