Answer:
1.31, 0.19 to nearest hundredth.
Step-by-step 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.
