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Solve the Following Quadratic Equations by Factorization: `1/(X-2)+2/(X-1)=6/X` , X ≠ 0 - CBSE Class 10 - Mathematics

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Question

Solve the following quadratic equations by factorization:

`1/(x-2)+2/(x-1)=6/x` , x ≠ 0

Solution

We have been given

`1/(x-2)+2/(x-1)=6/x`

x2 - x + 2x2 - 4x = 6(x2 - x - 2x + 2)

3x2 - 13x + 12 = 0

3x2 - 9x - 4x + 12 = 0

3x(x - 3) - 4(x - 3) = 0

(3x - 4)(x - 3) = 0

Therefore,

3x - 4 = 0

3x = 4

x = 4/3

Or,

x - 3 = 0

x = 3

Hence, x = 4/3 or x = 3

  Is there an error in this question or solution?

APPEARS IN

Solution Solve the Following Quadratic Equations by Factorization: `1/(X-2)+2/(X-1)=6/X` , X ≠ 0 Concept: Solutions of Quadratic Equations by Factorization.
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