Question

solve the equation:-
$\frac{4}{x} - 3 = \frac{5}{2x + 3}$
​

Answer 1

Answer:

X = 1, -2

Step-by-step explanation:

Answer 2

$\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}$

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-solve the equation:-

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

$\huge\tt\underline\blue{ANSWER }$

------>>>>Here is your answer<<<<--------

$⟹ \frac{4}{x} - 3 = \frac{5}{2x + 3}$

$⟹ \frac{4}{x} - \frac{5}{2x + 3} = 3$

$⟹ \frac{8x + 12 - 5x}{x(2x + 3)} = 3$

$⟹3x + 12 = 3x(2x + 3)$

$⟹3x + 12 = 6 {x}^{2} + 9x$

$⟹6 {x}^{2} + 6x - 12 = 0$

$⟹ {x}^{2} + x - 2 = 0$

$⟹ {x}^{2} + 2x - x - 2 = 0$

$⟹x(x + 2) - 1(x + 2) = 0$

$⟹(x + 2)(x - 1)$

$⟹x + 2 = 0 \: or \: x - 1 = 0$

$⟹x = - 2 \: or \: x = 1$

∴solutions of given equations are -2 and 1

HOPE IT HELPS YOU..

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