Answer:
13
Step-by-step explanation:
the quadratic formula will be used to solve the equation x²-3x-1=0
x = -b±√b²-4ac
2a
b= -3, a= 1, c= -1
x = --3±√3²-4*1*-1
2*1
x = 3±√9+4
2
x = 3±√13
2
x₁ = 3 + √13
2
x₂ = 3 - √13
2
x₁² + x₂² - 2x₁x₂
22 + 6√13 + 22 - 6√13 + 2
4 4
22 + 6√13 + 22 - 6√13 + 8 = 52/4 =13
4
