Question

2x-10/x=1 solve the following quadratic equation by factorization method​

Answer 1

Answer:

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

Hence,

x = \frac{5}{2}x=

2

5

or x = -2x=−2

Step-by-step explanation:

Given :

To factorize,

2x - \frac{10}{x} = 12x−

x

10

=1

Solution :

2x - \frac{10}{x} = 12x−

x

10

=1

⇒ \frac{2x^2 - 10}{x} = 1

x

2x

2

−10

=1

⇒ 2x^2 - 10 = x2x

2

−10=x

⇒ 2x^2 - x - 10 = 02x

2

−x−10=0

⇒ 2x^2 + 4x - 5x - 10 = 02x

2

+4x−5x−10=0

⇒ 2x(x + 2) - 5(x + 2) = 02x(x+2)−5(x+2)=0

⇒ (2x - 5)(x + 2) = 0(2x−5)(x+2)=0

∴ The factors are (2x - 5) & (x + 2).

Hence,

x = \frac{5}{2}x=

2

5

or x = -2x=−2