Question

Solve
the quadratic equation by
Factorisation Method
3/x+1 + 4/x-1 =29/4x-1

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Answer 1

Answer:

3(x-1)+4(x+1)/(x+1)(x-1)=29/(4x-1)

3x-3+4x+4/x^2-1^2=29/4x-1

7x-1/x^2-1^2=29/4x-1

cross multiplication

(7x-1)(4x-1)=29(x^2-1^2)

28x^2-7x-4x+1=29x^2-29

-x^2-11x-30

-(-x^2-11x-30)

x^2+11x+30

x^2+6x+5x+30

x(x+6)+5(x+6)

(x+5)(x+6)

x=-5 or x=-6