solve:-
((x+2)/(x-2))-((x-2)/(x+2))=5/6
Answers
(x+2) - (x-2) = 5
(x-2) (x+2) 6
(x+2)² - (x² - 2)² = 5
(x+2) (x-2) 6
(x² + 4x+4) - (x² - 4x + 4) = 5
x² - 4 6
(x² + 4x + 4 - x² + 4x - 4) = 5
x² - 4 6
8x = 5
x² - 4 6
8x*6 = 5(x² - 4)
48x = 5x² - 20
5x² - 48x - 20 = 0
5x² - 50x + 2x - 20 = 0
5x(x -10) + 2(x-10) = 0
(5x+2) (x-10)
x = -2/5 & 10
Answer:
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Step-by-step explanation:
(x+2) - (x-2) = 5
(x-2) (x+2) 6
(x+2)² - (x² - 2)² = 5
(x+2) (x-2) 6
(x² + 4x+4) - (x² - 4x + 4) = 5
x² - 4 6
(x² + 4x + 4 - x² + 4x - 4) = 5
x² - 4 6
8x = 5
x² - 4 6
8x*6 = 5(x² - 4)
48x = 5x² - 20
5x² - 48x - 20 = 0
5x² - 50x + 2x - 20 = 0
5x(x -10) + 2(x-10) = 0
(5x+2) (x-10)
x = -2/5 & 10