Solve the equation by completing the square. x² – 7x – 4 = 0

Question

• 7.53, –0.53
• –7.53, –0.53
• –7.53, 0.53
• 7.53, 0.53

Answer 1

x^2 - 7x - 4
x^2 - 7x + (7/2)^2 - 4 - (7/2)^2
(x - 7/2)^2 - 65/4

y=0 when

x - 7/2 = ±√65/2
x = (7±√65)/2
x = 7.53 or -.53

Answer 2

The answer is A *