Question

solve x^2-1/x^2+1 = 4/5 by factorization

Answer 1

Answer:

x = - 3 or x = 3

Step-by-step explanation:

YOUR QUESTION :

x² - 1 / x² + 1 = 4 / 5

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YOU CAN SOLVE IN THIS WAY :

» 5 ( x² - 1 ) = 4 ( x² + 1 )

» 5x² - 5 = 4x² + 4

» 5x² - 4x² - 5 - 4 = 0

» x² - 9 = 0

» x² - ( 3 )² = 0 -------- using a² - b² = ( a + b ) * ( a - b )

» ( x + 3 ) * ( x - 3 ) = 0

therefore,

» x = - 3

OR

» x = 3