Question

Resolva as seguintes questões sendo U=Q.OBS:não misturem as respostas por favor.

14)-2m(-m+2)=3(2m+1)

15)12m+3(m-1)=-2(m+1)+12

16)2(x-1)=0

17)-3(m+2)=1

18)2(x+2)=12

19)m=-3(m-4)

20)2(m+5)=-3(m-5)

21)-2(y+4)=-7+9(y-1)

22)5(x-4)=-4+9(x-1)

Answer 1

14) +2m^2-4m=6m+3
=2m^2-4m-6m-3=0
=2m^2-10m-3=0
delta=(-10)^2-4.2.(-3)
delta=100+24
delta=124
x'=(+10+2raizde 31)/4
x''=(+10-2raiz de 31)/4

16) 2x-2=0
2x=2
x=1
17) -3m-6=1
-3m=1+6
-3m=7
m=-7/3
18) 2x+4=12
2x=12-4
2x=8
x=8/2
x=4

19)m=-3m+12
m+3m=12
4m=12
m=12/4
m=3

Answer 2

14) -2m(-m+2)=3(2m+1)
2m² - 4m = 6m + 3
2m² - 4m - 6m = +3
2m² - 10m - 3=0
Δ = b² - 4*a*c
Δ = (-10)² -4 * 2 * (-3)
Δ = 100 (- 8)* (-3)
Δ= 124
$m= \frac{-b +ou- \sqrt{Δ}}{2*a} \\m= \frac{10 +ou- \sqrt{124}}{2*2} \\m= \frac{10 +ou- \sqrt{124}}{4} \\m1=\frac{10 + \sqrt{124}}{4} \\m2=\frac{10 - \sqrt{124}}{4}$

15) 12m+3(m-1)=-2(m+1)+12
12m+3m-3=-2m-2+12
15m+2m=-2+12+3
17m=13
$m= \frac{13}{17}$

16) 2(x-1)=0
2x-2=0
2x=2
$x= \frac{2}{2}$
x=1

17) -3(m+2)=1
-3m-6=1
-3m=6+1
-3m=7 (-1)
3m=-7
$m= \frac{-7}{3}$

18) 2(x+2) = 12
2x+4=12
2x=12-4
2x=8
$x= \frac{8}{2}$
x=4

19) m=-3(m-4)
m=-3m+12
3m+m=12
4m=12
$m= \frac{12}{4}$
m=3

20) 2(m+5)=-3(m-5)
2m+10=-3m+15
2m+3m=15-10
5m=5
$m= \frac{5}{5}$
m=1

21) -2(y+4)= - 7+9(y-1)
-2y-8= -7+9y-9
-2y-9y= -7-9+8
-11y= -8 * (-1)
11y=8
$y= \frac{11}{8}$

22) 5(x-4)= - 4+9(x-1)
5x-20= -4+9x-9
5x-9x= -4-9+20
-4x=7 *(-1)
4x=-7
$x= \frac{-7}{4}$

Espero ter ajudado, bons estudos :D