solve 1/6x^2=1/3x^2-1/x​

Sagot :

Answer:

x=3√6=1.8171

Step-by-step explanation:

Step by Step Solution

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

1/6*x^2-(1/3*x^2-1/x)=0

Step by step solution :

STEP

1

:

1

Simplify —

x

Equation at the end of step

1

:

1 1 1

(—•(x2))-((—•(x2))-—) = 0

6 3 x

STEP

2

:

1

Simplify —

3

Equation at the end of step

2

:

1 1 1

(—•(x2))-((—•x2)-—) = 0

6 3 x

STEP

3

:

Equation at the end of step 3

1 x2 1

(— • (x2)) - (—— - —) = 0

6 3 x

STEP

4

:

Calculating the Least Common Multiple :

4.1 Find the Least Common Multiple

The left denominator is : 3

The right denominator is : x

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

3 1 0 1

Product of all

Prime Factors 3 1

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