Question

2. Solve the quadratic equation by completing the square.

Answer 1

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

Learn more here: brainly.com/question/13981588