Answer:
(x + 1)² = 1 - 4a
Explanation:
+
= 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