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Question

(C) Given equation: $x + 3 + \frac{2}{x} = 0$.Multiply the entire equation by $x$ (where $x 
eq 0$):$x^2 + 3x + 2 = 0$.Now,factorize the quadratic eq

Vedclass · Accepted Answer

$-1, -2$

Vedclass · Answer

(C) Given equation: $x + 3 + \frac{2}{x} = 0$.Multiply the entire equation by $x$ (where $x 
eq 0$):$x^2 + 3x + 2 = 0$.Now,factorize the quadratic equation by splitting the middle term:$x^2 + 2x + x + 2 = 0$.$x(x + 2) + 1(x + 2) = 0$.$(x + 1)(x + 2) = 0$.Setting each factor to zero:$x + 1 = 0 \implies x = -1$.$x + 2 = 0 \implies x = -2$.Thus,the solutions are $x = -1, -2$.

Solve the following equation using the method of factorization: $x + 3 + \frac{2}{x} = 0$.

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