207k views
5 votes
Answer to solving equation

Answer to solving equation-example-1
User Loctrice
by
7.4k points

1 Answer

3 votes

Answer:

x = 5 or x = (-1)

Explanation:


(x)/(x + 1) - (2)/(x - 2) = \frac{3}{ {x}^(2) - x - 2 } \\ (x(x - 2) - 2(x + 1))/((x + 1)(x - 2)) = \frac{3}{ {x}^(2) - x - 2 } \\ \frac{ {x}^(2) - 2x - 2x - 2}{x(x - 2) + 1(x - 2)} = \frac{3}{ {x}^(2) - x - 2} \\ \frac{ {x}^(2) - 4x - 2 }{ {x}^(2) - 2x + x - 2} = \frac{3}{ {x}^(2) - x - 2 } \\ \frac{ {x}^(2) - 4x - 2 }{ {x}^(2) - x - 2 } = \frac{3}{ {x}^(2) - x - 2} \\ ( {x}^(2) - 4x - 2)( {x}^(2) - x - 2) = 3( {x}^(2) - x - 2) \\ {x}^(2) - 4x - 2 = 3 \\ {x}^(2) - 4x - 2 - 3 = 0 \\ {x}^(2) - 4x - 5= 0 \\ {x}^(2) + x - 5x - 5 = 0 \\ x(x +1 ) - 5(x + 1) = 0 \\ (x - 5)(x + 1) = 0 \\

(x - 5) = 0 or (x + 1) = 0 should be.

x = 5 or x = -1

User Vishnu Narayanan
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories