Question

Solve by quadratic formula:

$5. \frac{2x}{x - 4} + \frac{2x - 5}{x - 3} = \frac{25}{3}$
(x # 4 , 3)

Class 10

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Answer 1

$Given : \frac{2x}{x - 4} + \frac{2x - 5}{x - 3} = \frac{25}{3}$

= > 6x(x - 3) + 3(2x - 5)(x - 4) = 25(x - 4)(x - 3)

= > 6x^2 - 18x + 6x^2 - 39x + 60 = 25x^2 - 175x + 300

= > 12x^2 - 57x + 60 = 25x^2 - 175x + 300

= > 12x^2 + 118x - 240 = 25x^2

= > -13x^2 + 118x - 240 = 0

= > 13x^2 - 118x + 240 = 0

= > 13x^2 - 78- 40x + 240 = 0

= > 13x(x - 6) - 40(x - 6) = 0

= > (13x - 40)(x - 6) = 0

= > x = 40/13, 6.


Hope this helps!

Answer 2

On finding any mistake, comment immediately