Question

2) Resolva as equações a seguir: a)18x - 43 = 65 b) 23x - 16 = 14 - 17x c) 10y - 5 (1 + y) = 3 (2y - 2) - 20 d) x(x + 4) + x(x + 2) = 2x2 + 12 e) (x - 5)/10 + (1 - 2x)/5 = (3-x)/4 f) 4x (x + 6) - x2 = 5x2 Quais seriao os resultados?

Answer 1

a)18x - 43 = 65

18x=65+43

18x=108

x=108/18

x= 6

b) 23x - 16 = 14 - 17x

23x+17x=14+16

40x=30

x=30/40

x= 0,75

c) 10y - 5 (1 + y) = 3 (2y - 2)

10y-5-5y=6y-6

10y-5y-6y=-6+5

-y=-1 (-1)

y= 1

d) x(x + 4) + x(x + 2) = 2x² + 12

x²+4x+x²+2x=2x²+12

x²+x²-2x²+4x+2x=12

6x=12

x=12/6

x= 2

e) (x - 5)/10 + (1 - 2x)/5 = (3-x)/4

-0,1x-0,5+0,2-0,4x=0,75-0,25x

-0,1x+0,4x+0,25x=0,75+0,5-0,2

0,55x=1,05

x=1,05/0,55

x= 1,9

f) 4x (x + 6) - x2 = 5x2

4x²+24x-x²=5x²

4x²-x²-5x²=-24

-2x²=-24 (-1)

2x²=24

x²=24/2

x²=12

x=√12

x= 3,46

Answer 2

■ Oie td bom

• a)18x - 43 = 65

• 18x=65+43

• 18x=108

• x=108/18

• x= 6

• b) 23x - 16 = 14 - 17x

• 23x+17x=14+16

• 40x=30

• x=30/40

• x= 0,75

• c) 10y - 5 (1 + y) = 3 (2y - 2)

• 10y-5-5y=6y-6

• 10y-5y-6y=-6+5

• -y=-1 (-1)

• y= 1

• d) x(x + 4) + x(x + 2) = 2x² + 12

• x²+4x+x²+2x=2x²+12

• x²+x²-2x²+4x+2x=12

• 6x=12

• x=12/6

• x= 2

• e) (x - 5)/10 + (1 - 2x)/5 = (3-x)/4

• -0,1x-0,5+0,2-0,4x=0,75-0,25x

• -0,1x+0,4x+0,25x=0,75+0,5-0,2

• 0,55x=1,05

• x=1,05/0,55

• x= 1,9

• f) 4x (x + 6) - x2 = 5x2

• 4x²+24x-x²=5x²

• 4x²-x²-5x²=-24

• -2x²=-24 (-1)

• 2x²=24

• x²=24/2

• x²=12

• x=√12

• x= 3,46

■ α✝✝. ✞rasherxⒶ✡☪☯☣☢♾