Question

PLEASE HELP ASAP

What are the exact solutions of x2 – 3x - 1 = 0? (5 points)
X=
3+15
2
-315
X =
2
x =
3 113
2
x =
-3 + 13
2

Answer 1

x = 1.5 +/-√3.25.

Explanation:

x^2 - 3x - 1 = 0

x^2 - 3x = 1

Completing the square:

(x - 1.5)^2 - 1.5^2 = 1

(x - 1.5)^2 = 1 + 2.25 = 3.25

x - 1.5 = +/-√3.25

x = 1.5 +/-√3.25