Question

10th maths solution please step by step

Answer 1

Given Equation is 4/x - 3 = 5/2x + 3.

LCM = x(2x + 3).

$\frac{4}{x} * x(2x + 3) - 3x(2x + 3) = \frac{5}{2x+3} * x(2x + 3)$

4(2x + 3) - 3x(2x + 3) = 5x

8x + 12 - 6x^2 - 9x = 5x

-6x^2 - x + 12 = 5x

-6x^2 - x - 5x + 12 = 0

-6x^2 - 6x + 12 = 0

-6(x^2 + x - 2) = 0

x^2 + x - 2 = 0

x^2 -1x + 2x - 2 = 0

x(x - 1) + 2(x - 1) = 0

(x - 1)(x + 2) = 0

x = 1 (or) x = -2.



Hope this helps!