Question

25 levado a x - 6*5 elevado a x +5 >0

Answer 1

( 25 ) x - 6* ( 5 ) x + 5 > 0

[( 5) x ] 2 - 6* ( 5 ) x + 5 > 0 -----> ( 5 ) x = y

( y ) 2 - 6y + 5 > 0

∆ = 36 - 20
∆ = 16
y1 = 6 + 4 /2
y1 = 10 / 2
y1 = 5

Y2 = 6 - 4 / 2
Y2'= 2 / 2
Y2 = 1

( 5 ) x = 5
( 5 ) x = (5 ) 1
x = 1

( 5 ) x = 1
( 5 ) x = ( 5 ) 0
x = 0

S= x € R / x < 0 ou x > 1