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

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(C) Given equation: $x + 3 + \frac{2}{x} = 0$.Multiply the entire equation by $x$ (where $x \neq 0$):$x^2 + 3x + 2 = 0$.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 $x = -1, -2$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

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

A
$-13, -20$
B
$17, -1$
C
$-1, -2$
D
$-1, 6$

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Mix Examples - Quadratic Equations

If the value of the discriminant of a quadratic equation $kx^2 - 6x + 1 = 0$ is $0$,then $k = \ldots$

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Obtain the roots of the following equation using the method of 'completing the square': $6x^2 + 11x + 3 = 0$

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The sum of squares of two consecutive odd numbers is $514$. Find those numbers.

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Which of the following is not a quadratic equation?

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$120$ kites were divided equally among a certain number of children in a school. If there were $4$ children fewer,each child would have received $1$ kite more. Find the number of children.

Medium

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

Similar Questions

If the value of the discriminant of a quadratic equation $kx^2 - 6x + 1 = 0$ is $0$,then $k = \ldots$

Obtain the roots of the following equation using the method of 'completing the square': $6x^2 + 11x + 3 = 0$

The sum of squares of two consecutive odd numbers is $514$. Find those numbers.

Which of the following is not a quadratic equation?

$120$ kites were divided equally among a certain number of children in a school. If there were $4$ children fewer,each child would have received $1$ kite more. Find the number of children.

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