Question

x+1/x=10/3 find out the amount of x​

Answer 1

Hey brainly user

Here is your answer

x+1/x=10/3

3x+3=10x

3x-10x=-3

-7x=-3

x=3/7

Verification : let x=3/7

3/7+1/3/7=10/7/3/7

=10/3

Answer 2

Answer:

$x + 1 \div x = 10 \div 3 \\ ({x}^{2} + 1 ) \div x = 10 \div 3 \\ by \: cross \: multiplication \\ 3( {x}^{2} + 1) = 10x \\ 3 {x}^{2} + 3 = 10x \\ 3 {x}^{2} - 10x + 3 \\ 3 {x}^{2} - 9x - x + 3 \\ 3x(x - 3) - 1(x - 3) \\ (x - 3)(3x - 1)$

X - 3 = 0

X = 0+3 = 3

3x-1 = 0

3x = 0 + 1

3x = 1

X = 1/3

X = 3, 1/3

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