Answer:
x = (2 ± √10) / 3
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
the answer is x=1,−13
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