Mathematics, 27.03.2020 01:47 cain1828
Prof. Martin tried to solve the quadratic equation y = 8x2 β 5x β 3 by completing the square, but she made a mistake.
In which line of her work shown below did she make the mistake?
8x2 β 5x β 3 = 0
[Line 1] β 8x2 β 5x = 3
[Line 2] β x2 β 0.625x = 0.375
[Line 3] β x2 β 0.625x + 0.09765625 = -1.25 + 0.09765625
[Line 4] β (x β 0.3125)2 = -1.25 + 0.09765625
[Line 5] β (x β 0.3125)2 = 0.47265625
[Line 6] β x β 0.3125 = Β±β(0.47265625)
[Line 7] β x = Β±β(0.47265625) β 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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