Question

Which of the following is a solution of 3x2 = 7x - 3?

negative 7 plus or minus the square root of 13 divided by 6

7 plus or minus the square root of 85 divided by 6

negative 7 plus or minus the square root of 85 divided by 6

x - 7 plus or minus the square root of 13 divided by 6

Answer 1

i think its either A or D

Answer 2

3x^2 = 7x - 3
3x^2 - 7x + 3 = 0
x^2 - 7/3x + 1 = 0
x^2 - 7/3x = - 1
x^2 - 7/3x + 49/36 = - 1 + 49/36
(x - 7/6)^2 = 13/36
x - 7/6 = ± √(13/36)
x = 7/6 ± √(13)/6

x = 1/6[7 + √(13)], 1/6[7 - √(13)] answer//
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