# If the square root of 2 less than 6 times a number is divided by 2 less than the number the quotient is 2. what is the number?

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6x - 2 = 4(x² - 4x + 4)

6x - 2 = 4x² -16x + 16

4x² - 16x - 6x + 16 + 2 = 0

4x² - 22x + 18 = 0

2 (2x² - 11x + 9) = 0

(

2x - 9 = 0

2x = 9

2x/2 = 9/2

x - 1 = 0

x = 1

The number is 9/2 or 1.

(5) (2/5) = 2

2 = 2 (true)

Choose the negative root

2 = 2 (true)