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User Jiahao Chen
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1 Answer

10 votes
10 votes

Answer:

(x + 1)² = 1 - 4a

Explanation:


(x+a)/(x) +
(x-2)/(4) = 0

multiply through by 4x ( the LCM of x and 4 ) to clear the fractions

4(x + a) + x(x - 2) = 0

4x + 4a + x² - 2x = 0

x² + 2x + 4a = 0 ( subtract 4a from both sides )

x² + 2x = - 4a

using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(1)x + 1 = - 4a + 1

(x + 1)² = 1 - 4a

with p = 1 and q = 1 - 4a

User NullRef
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