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What is the solution to the equation 2 (x-3) ^2 =13 help help ASAP !

What is the solution to the equation 2 (x-3) ^2 =13 help help ASAP !-example-1
User Tarleb
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2 Answers

2 votes

Explanation:

x=√3+3,−√1

I tried...

User Mrhaki
by
4.1k points
5 votes

Answer:

3+sqrt(13/2)

3-sqrt(13/2)

Explanation:

2 (x-3) ^2 =13

Divide each side by 2

2/2 (x-3) ^2 =13/2

(x-3) ^2 =13/2

Take the square root of each side

sqrt((x-3) ^2) =±sqrt(13/2)

x-3 = ±sqrt(13/2)

Add 3 to each side

x-3+3 = 3±sqrt(13/2)

x = 3±sqrt(13/2)

User Steve Brown
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4.9k points