Question

Por favor Ayuda Urgente!! ( x - 1 )2< x ( x - 4) + 8

Answer 1

(x-1)^2 < x(x-4) +8
x^2 -2x +1 < x^2 -4x +8

x^2 -x^2 -2x +4x +1 -8 < 0
2x -7 < 0
2x < 7
x < 7/2
x < 3.5

Comprobando
Si x < 3.5 Tomemos x = 3.4

 x^2 -2x +1 < x^2 -4x +8

3.4^2 -2(3.4) + 1 <3.4^2  -4(3.4) +8
11.56 -6.8 +1 <  11.56 - 13.6 +8
5.76  <  5.96