Question

if x+1/x=3 then what will be the value of x ?

Answer 1

Answer:

Step-by-step explanation:

x+1/x=3

x+1=3x

3x-x=1

2x=1

x=1/2

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Answer 2

GIVEN :

x + 1 / x = 3

TO FIND :

Value of x

SOLUTION - 1 :

(x + 1)/x = 3

x + 1 = 3x

3x - x = 1

2x = 1

x = 1/2

GIVEN :

x + (1/x) = 3

TO FIND :

Value of x

SOLUTION - 2 :

x + (1/x) = 3

x² + 1 /x = 3

x² + 1 = 3x

x² - 3x + 1 = 0

Use Quadratic Formula,

x = -b ± √(b² - 4ac)/2a

x = -(-3) ± √[(3)² - 4(1)(1)] / 2

x = 3 ± √[9 - 4 ] /2

x = (3 + √5)/2 or x = (3 - √5)/2