Question

URGEEEEEENTE!!!!!!!!!!!!!!!!!!

Answer 1

a) (X + 1)² = 7 + X
(X +1) (X + 1) =7+X
X² + 2 X + 1 = 7 + X
X² + 2 X + 1- 7 - X = 0
X² + X - 6 = 0
DELTA =b² - 4.a.c
delta = 1² - 4 1 .(-6)
delta = 1 + 24
delta = 25
\/¨ 25 = 5
x =(-b +ou- 5 )/2.1
x =-1 +ou-5) / 2
x´=-1 + 5 /2
x´= 4/2
x´= 2

x" = -1 - 5/2
x" = -6/2
x" = -3

b) (x - 2)² - x = 1
(x - 2) (x - 2 ) - x = 1
x² - 4 x + 4 - x - 1 = 0
x² - 5 x + 3 = 0
delta = b² -4. a .c
delta = (-5)² - 4 .1 .3
delta = 25  -  12
delta = 13
\/¨13
x´= - b +ou- \/¨13
x`= - (- 5 ) +ou- \/¨¨13
x = 5 + \/¨13/2
x" = 5- \/¨¨13

c) x² = 4 x/5 + 1/5
m.m.c(1,5)=5
5.x² -4 x -1 = 0
delta = b² - 4 .a .c
delta = (-4)² - 4 .5 .(-1)
delta = 16 +20
delta=36
\/¨¨36 = 6
x = (- b +ou-6) / 2 . 5
x´= - (-4) +6) /10
x = 4 + 6 /10
x = 10/10 
x´= 1
x" = 4 - 6 /10
x" - 2 / 10
x" =-1/5
d) x²/4 - x/3 + 1/9 =0
m.m.c(3,4,9)=36
9 x² - 12 x + 4 = 0
delta =b² -4 .a.c
delta =(-12)² - 4.9 . 4
delta =144  - 144
delta = 0
\/¨0 = 0
x = - b +ou- 0) / 2 .9
x´= x" =-(-12)/18
x´=x" = 12/18 = simplificando fica =2/3

e)x³ - 3 = x - 1/6 m.m.c=6
6 x³ - 18 = x - 1
6 x³ - x -  18  + 1
6 x³ - x  - 17 = 0
x² - 5 x   + 1   = 2 x + 11
-----------             --------------
     3                          3
m.m.c(1,3)=3
x²  - 5 x + 3 = 2 x + 11
x² - 5 x  - 2 x + 3  - 11 = 0
x² - 7 x + 8 = 0 
delta = b² - 4 .a.c
delta = (-7)² - 4 .1 . 8
delta = 49 -32
delta = 17
delta = \/¨17
x = -b +ou- \/¨17
raiz não é exata