Solve the following quadratic equations by factorization:

$\frac{2}{x^{2}} - \frac{5}{x} + 2 = 0$

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Solution

We have been given

Now we solve the above quadratic equation using factorization method.

Therefore,

Now, one of the products must be equal to zero for the whole product to be zero. Hence we equate both the products to zero in order to find the value of x.

Therefore,

Or

Hence, or.

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Solve the following quadratic equation by factorization.
$\frac{2}{x + 1} + \frac{3}{2 (x - 2)} = \frac{23}{5 x}; x \neq 0, - 1, 2$

\frac{2}{x + 1} + \frac{3}{2 (x - 2)} = \frac{23}{5 x}; x \neq 0, - 1, 2

4

\sqrt{2} x^{2} - 3 x - 2 \sqrt{2} = 0

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