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Hey I need help with this question:

6(x-3)^2-26 = 10

User Xingdong
by
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1 Answer

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Answer:

x = 3 ±sqrt(6)

Explanation:

6(x-3)^2-26 = 10

Add 26 to each side

6(x-3)^2-26+26 = 10+26

6(x-3)^2 = 36

Divide by 6

6/6(x-3)^2 = 36/6

(x-3)^2 = 6

Take the square root of each side

sqrt((x-3)^2) = ±sqrt(6)

x-3 = ±sqrt(6)

Add 3 to each side

x-3+3 =3 ±sqrt(6)

x = 3 ±sqrt(6)

User Egimaben
by
8.1k points

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