Question

Persamaan kuadrat jika akar akarnya 1/a + 1/b = 7/10 adalah?

Answer 1

1/a + 1/b = 7/10
(a+b) /ab= 7/10
10(a+b) =7ab
7ab - 10a - 10b = 0

Answer 2

1/a + 1/b = 7/10
(a + b) / ab = 7/10

a + b = 7
ab = 10

a + b = 7
      b = 7 - a

ab = 10
a (7 - a) = 10
7a - a² = 10
a² - 7a + 10 = 0
(a - 2) (a - 5) = 0
a - 2 = 0
    a₁ = 2
atau
a - 5 = 0
    a₂ = 5

a = 2

a + b = 7
2 + b = 7
      b = 7 - 2
      b = 5

HP = {2 , 5}