Question

If a and b are integers and a < b, b ≠ ± 1, 0, then compare −1

−1
,
+1
+1​

Answer 1

Answer:

x1 = 2.618033989.

x2 = 0.381966011.

Step-by-step explanation:

x^2–3x+1 = 0

x1 = [3+(9-4)^0.5]/2 = [3+5^0.5]/2 = 2.618033989.

x2 = [3-(9-4)^0.5]/2 = [3–5^0.5]/2 = 0.381966011.

Check: x1+(1/x1) = 2.618033989+(1/2.618033989) = 3. Correct.

x2+(1/x2) = 0.381966011+(1/0.381966011) = 3. Correct.

x1 = 2.618033989.

x2 = 0.381966011.