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Mathematics, 27.03.2020 01:47 cain1828

Prof. Martin tried to solve the quadratic equation y = 8x2 βˆ’ 5x βˆ’ 3 by completing the square, but she made a mistake.

In which line of her work shown below did she make the mistake?
8x2 βˆ’ 5x βˆ’ 3 = 0
[Line 1] β‡’ 8x2 βˆ’ 5x = 3
[Line 2] β‡’ x2 βˆ’ 0.625x = 0.375
[Line 3] β‡’ x2 βˆ’ 0.625x + 0.09765625 = -1.25 + 0.09765625
[Line 4] β‡’ (x βˆ’ 0.3125)2 = -1.25 + 0.09765625
[Line 5] β‡’ (x βˆ’ 0.3125)2 = 0.47265625
[Line 6] β‡’ x βˆ’ 0.3125 = ±√(0.47265625)
[Line 7] β‡’ x = ±√(0.47265625) βˆ’ 0.3125
[Line 8] β‡’ x = -0.375 or 1.000, rounded to 3 decimal places

Line 5

Line 4

Line 6

Line 7

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