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3x2squared plus bx-5 equals 0

Updated: 9/18/2023
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14y ago

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3x2 + bx - 5 = 0

∴ 3x2 + bx = 5

∴ x2 + bx/3 = 5/3

∴ x2 + bx/3 + (b/6)2 = 5/3 + (b/6)2

∴ (x + b/6)2 = (45 + b2) / 36

∴ x + b/6 = ±[(45 + b2) / 36]1/2

∴ x = [-b ± (45 + b2)1/2] / 6

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