Resolva as equações abaixo
A) 4 + x ( x - 4 ) = X
B) 2x ( x + 3 ) = X Ao quadrado + 3x + 70
C) ( x -1 ) ( x + 5 ) = 7
D) ( x + 3 ) . ( x - 4 ) - 52 = - X
E) ( x + 1 ) ( x - 2 )
F) ( x - 3 ) Ao Quadrado = 16
G) ( 2 x - 3 ) Ao quadrado = 25
H) ( 2 x - 3 ) Ao Quadrado + 8 ( x + 1 ) = 0
I) (2x - 1 ) Ao quadrado - ( x + 2 ) Ao Quadrado = - 2x
Soluções para a tarefa
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a)4+x(x-4)=x
4+x²-4x=x
x²-4x-x=-4
x²=-4/-5
x²=0,8
x=√0,8
x=0,89
b)2x(x+3)=x²+3x+70
2x²+6x-x²-3x=70
4x+6x-x²-3x=70
7x-x²=70
x-x²=70/7
x=10
c)(x-1)(x+5)=7
x²+5x-1x-5=7
x²+4x=7+5
x²+x=12/4
x³=3
x=∛3
x=1,44
d)(x+3)(x-4)-52=-x
x²-4x+3x-12+x=52
x²-x+x=52+12
x²=64
x=√64
x=8
e)(x+1)(x-2)
x²-2x+1x-2=
x²-x=2
x=2
f)(x-3)²=16
(x-3)(x-3)=16
x²-6x+9=16
x²-6x=16-9
x²-x=7/6
x=1,16
g)(2x-3)²=25
(2x-3)(2x-3)=25
4x-12x+9=25
-8x=25-9
x=16/-8
x=-2
h)(2x-3)²+8(x+1)=0
4x-12x+9+8x+8=0
0x=-9-8∉
i)(2x-1)²-(x+2)²=-2x
1-x²+4x+4=-2x
-x²+4x+2x=-4-1
-x²+8x=-5
-x²+x=-5/8
x=0,625
4+x²-4x=x
x²-4x-x=-4
x²=-4/-5
x²=0,8
x=√0,8
x=0,89
b)2x(x+3)=x²+3x+70
2x²+6x-x²-3x=70
4x+6x-x²-3x=70
7x-x²=70
x-x²=70/7
x=10
c)(x-1)(x+5)=7
x²+5x-1x-5=7
x²+4x=7+5
x²+x=12/4
x³=3
x=∛3
x=1,44
d)(x+3)(x-4)-52=-x
x²-4x+3x-12+x=52
x²-x+x=52+12
x²=64
x=√64
x=8
e)(x+1)(x-2)
x²-2x+1x-2=
x²-x=2
x=2
f)(x-3)²=16
(x-3)(x-3)=16
x²-6x+9=16
x²-6x=16-9
x²-x=7/6
x=1,16
g)(2x-3)²=25
(2x-3)(2x-3)=25
4x-12x+9=25
-8x=25-9
x=16/-8
x=-2
h)(2x-3)²+8(x+1)=0
4x-12x+9+8x+8=0
0x=-9-8∉
i)(2x-1)²-(x+2)²=-2x
1-x²+4x+4=-2x
-x²+4x+2x=-4-1
-x²+8x=-5
-x²+x=-5/8
x=0,625
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