Question

solve this

$\frac{x}{1} - \frac{1 }{x} = \frac{9}{20}$

x is not 0​

Answer 1

x - 1 / x = 9/ 20

x ² - 1 = 9 / 20

x

x ² = 9 x / 20 +1

x ² = 9 x + 20

20

20 x ² = 9x +20

20x ² - 9x - 20

a = 20 , b = - 9 , c = - 20

D = b ² - 4 ac

81 - 4 × 20 × -20

81 + 1681

√D = 9 + 41

50

α = - b + √D

2a

9 + 50

40

59/40

β = - 41 / 40