jika alfa dan beta akar akar persamaan x kuadrat di kurang 7x ditambah 2 samadengan 0 maka alfa per beta + beta per alfa =

jawab

x² - 7x + 2 = 0
a= 1
b = - 7
c = 2

α+β = -b/a = -(-7)/1 = 7
α. β = c/a = 2/1 = 2

α/ β+ β/α = (α² + β²) / (α β)
= {(α+β)² - 2 αβ}  / (αβ)
= {7² - 2(2)} / (2)
= (49 - 4)/(4)
= 45/4