Solve the eqaution using the quadratic formula 3x^2=2(2x+1)

x = (2 ± √10) / 3

Step-by-step explanation:

3x²=2(2x+1)

3x² - 4x -2 = 0    .. 2 roots: (-b ± √b² - 4ac) / 2a

a = 3,  b = -4,  c = -2

x = ((-(-4)) ± √(-4)² - 4x3x(-2)) / (2x3)

  = (4 ± √16 + 24) / 6

  = (4 ± √40) / 6

  = (4 ± 2√10) /6

  = (2 ± √10) / 3

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step-by-step explanation:

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