Math;唔該幫下我.

1. (x-4)(x-5)= - 1/4
4(x-4)(x-5)= - 1
4(x^2 – 9x + 20) = - 1
4x^2 – 36x + 80 = - 1
4x^2 – 36x + 81 = 0
(2x – 9)(2x – 9) = 0
2x – 9 = 0
2x = 9
x = 9/2 (two equal real roots)

ANS: 9/2(repeated)


2. -(x+1)=1/3x(4/3x+1)
-3(x+1) = x(4/3x+1)
-3(x+1) = (4/3)x^2+x
-9(x+1) = 4x^2 + x
-9x - 9 = 4x^2 + x
0 = 4x^2 + x +9x + 9
4x^2 + 10x + 9
(2x + 3)(2x + 3)
2x + 3 = 0
2x = - 3
x = - 3/2 (two equal real roots)

ANS: -3/2 (repeated)