Question

Solve by completing squares method...1/x +1/x -1 =4...please answer ASAP

Answer 1

1.31, 0.19 to nearest hundredth.

Explanation:

1/x + 1/(x - 1) = 4

Multiply through by x(x - 1):-

x - 1 + x = 4x(x - 1)

4x^2 - 4x = 2x - 1

4x^2 - 6x = -1

4(x^2 - 3.2 x) = -1

Completing the square:-

4 [ ( x - 3/4)^2 - 9/16] = -1

4(x - 3/4)^2 - 9/4 = -1

4(x - 3/4)^2 = 5/4

(x - 3/4)^2 = 5/16

x - 3/4 = +/- √5 / 4

x = √5 / 4 + 3/4 , -√5 / 4 + 3/4

= 1.31, 0.19 to nearest hundredth.