The roots of the quadratic equation are:
x = 0.74 - 0.6614i
x = 0.74 + 0.6614i
The given equation is:
2x² + 2 = 3x
Rearrange the equation
2x² -3x = -2
Divide through by 2
x² - (3/2)x = -1
x² - (3/2)x + (3/4)² = -1 + (3/4)²
(x - 3/4)² = -7/16
Square root both sides
x - 3/4 = √(-7/16)
x = 3/4 ± √(-7) / 4
x = 0.75 ± i√(7) / 4
x = 0.74 ± 0.6614i
Therefore, the roots of the quadratic equation are:
x = 0.74 - 0.6614i
x = 0.74 + 0.6614i
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