Question

2x-10/x=1 solve by factorization method​

Answer 1

Answer:

The factors are (2x - 5) & (x + 2).

Hence,

$x = \frac{5}{2}$ or $x = -2$

Step-by-step explanation:

Given :

To factorize,

$2x - \frac{10}{x} = 1$

Solution :

$2x - \frac{10}{x} = 1$

⇒ $\frac{2x^2 - 10}{x} = 1$

⇒ $2x^2 - 10 = x$

⇒ $2x^2 - x - 10 = 0$

⇒ $2x^2 + 4x - 5x - 10 = 0$

⇒ $2x(x + 2) - 5(x + 2) = 0$

⇒ $(2x - 5)(x + 2) = 0$

∴ The factors are (2x - 5) & (x + 2).

Hence,

$x = \frac{5}{2}$ or $x = -2$

Answer 2

Answer:

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