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

the answer is x=1,-13

Step-by-step explanation:

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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