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Solve the Following Quadratic Equations by Factorization: (X+3)/(X-2)-(1-x)/X=17/4 - CBSE Class 10 - Mathematics

ConceptSolutions of Quadratic Equations by Factorization

Question

Solve the following quadratic equations by factorization:

(x+3)/(x-2)-(1-x)/x=17/4

Solution

We have been given

(x+3)/(x-2)-(1-x)/x=17/4

4(x2 + 3x - x + x2 + 2 - 2x) = 17(x2 - 2x)

9x2 - 34x - 8 = 0

9x2 - 36x + 2x - 8 = 0

9x(x - 4) + 2(x - 4) = 0

(9x + 2)(x - 4) = 0

Therefore,

9x + 2 = 0

9x = -2

x = -2/9

or,

x - 4 = 0

x = 4

Hence, x = -2/9 or x = 4

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Solution Solve the Following Quadratic Equations by Factorization: (X+3)/(X-2)-(1-x)/X=17/4 Concept: Solutions of Quadratic Equations by Factorization.
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