exercícios resolvidos
1)x²-4x-5=0
2)4x²+8x+6=0
3)x²-5x+6=0
4)x²-8x+12=0
5)x²-2x-8=0
6)x²-5x+8=0
7)2x²-8x+8=0
8)x²-4x-5=0
9)-x²+x+12=0
10)-x²+6x-5=0
11)6x²+x-1=0
12)3x²-7x+2=0
13)2x²-7x=15
14)4x²+9=12x
15)x²=x+12
16)2x²=-12x-18
17)x²-x-20=0
18)x²-3x+4
19)x²-14x+48=0
20)x²+3x-28=0
21)x²+9=4x
22)25x²=20x-4
23)2x=15-x²
24)x²+3x-6=-8
25)x²+x-7=5
26)4x²-x+1=x+3x²
27)3x²+5x=-x-9+2x²
28)4+x(x-4)=x
29)x(x+3)-40=0
30)x²+5x+6=0
31)x²-7x+12=0
32)x²+5x+4=0
33)7x²+x+2=0
34)x²-18x+45=0
35)-x²-x+30=0
36)x²-6x+9=0
37)(x+3)²=1
38)(x-5)²=1
39)(2x-4)²=0
40)(x-3)²=-2x²
41)x²-3=4x+2
alguém me ajuda por favor preciso para hojeeeee por favooor
Soluções para a tarefa
Resposta:Segue as contas abaixo na explicação os valores de deltas quando darem resultados negativos não há soluções
Explicação passo-a-passo:
1)x²-4x-5=0 2)4x²+8x+6=0 3)x²-5x+6=0 4)x²-8x+12=0
Δ=b²-4.a.c Δ=b²-4.a.c Δ=b²-4.a.c Δ=b²-4.a.c
Δ=(-4)²-4.1.(-5) Δ=8²-4.4.6 Δ=(-5)²-4.1.6 Δ=(-8)²-4.1.12
Δ=16+20 Δ=64-96 Δ=25-24 Δ=64-48
Δ=36 Δ=-32 Δ=1 Δ=16
x=-b ± √Δ/2.a x=-b ± √Δ/2.a x=-b ± √Δ/2.a
x=-(-4) ± √25/2.1 x=-(-5) ± √1/2.1 x=-(-8) ± √16/2.1
x=4 ± 5/2 x=5 ± 1/2 x=8 ± 4/2
x1=4+5/2 x1=5+1/2 x1=8+4/2
x1=9/2 x1=6/2 x1=12/2
x2=4-5/2 x1=3 x1=6
x2=-1/2 x2=5-1/2 x2=8-4/2
S(9/2,-1/2) x2=4/2 x2=4/2
x2=2 x2=2
S(3,2) S(6,2)
5)x²-2x-8=0 6)x²-5x+8=0 7)2x²-8x+8=0 8)x²-4x-5=0
Δ=b²-4.a.c Δ=b²-4.a.c Δ=b²-4.a.c Δ=b²-4.a.c
Δ=(-2)²-4.1.(-8) Δ=(-5)²-4.4.8 Δ=(-8)²-4.2.8 Δ=(-4)²-4.1.(-5)
Δ=4+32 Δ=25-128 Δ=64-64 Δ=16+100
Δ=36 Δ=-103 Δ=0 Δ=116
x=-b ± √Δ/2.a x=-b ± √Δ/2.a x=-b ± √Δ/2.a
x=-(-2) ± √36/2.1 x=-(-8) ± √0/2.2 x=-(-4) ± √116/2.1
x=2 ± 6/2 x=8 ± 0/2 x=8 ± 2√29/2
x1=2+6/2 x1=8+0/2 x1=8+2√29/2
x1=8/2 x1=8/2 x1=4+1√29
x1=4 x1=4 x2=8-2√29/2
x2=2-6/2 x2=8-0/2 x2=4-1√29
x2= -4/2 x2=8/2 S(4+1√29,4-1√29)
x2=-2 x2=4
S(4,-2) S(4,4)
9)-x²+x+12=0 10)-x²+6x-5=0 11)6x²+x-1=0 12)3x²-7x+2=0
Δ=b²-4.a.c Δ=b²-4.a.c Δ=b²-4.a.c Δ=b²-4.a.c
Δ=1²-4.(-1).12 Δ=6²-4.(-1).(-5) Δ=1²-4.6.(-1) Δ=(-7)²-4.3.2
Δ=1+48 Δ=36-20 Δ=1+24 Δ=49-24
Δ=49 Δ=16 Δ=25 Δ=25
x=-b ± √Δ/2.a x=-b ± √Δ/2.a x=-b ± √Δ/2.a x=-b ± √Δ/2.a
x=-1 ± √49/2.(-1 ) x=-6 ± √16/2.(-1) x=-1 ± √25/2.6 x=-(-7) ± √25/2.3
x=1 ± 7/-2 x=-6 ± 4/-2 x=1 ± 5/12 x=7 ± 5/6
x1=1+7/-2 x1=-6+4/-2 x1=1+5/12 x1=7+5/6
x1=8/-2 x1=-2/-2 x1=6/12:6/6 x1=12/6
x1=-4 x1=1 x1=1/2 x1=2
x2=1-7/-2 x2=-6-4/-2 x2=1-5/12 x2=7-5/6
x2= -6/-2 x2=-10/-2 x2=-4/12:4/4 x2=2/6:2/2
x2=3 x2=5 x2=-1/3 x2=1/3
S(-4,3) S(1,5) S(1/2,-1/3) S(2,1/3)
13)2x²-7x=15 14)4x²+9=12x 15)x²=x+12 16)2x²=-12x-18
2x²-7x-15=0 4x²-12x+9=0 x²-x-12 =0 2x²+12x+18=0
Δ=b²-4.a.c Δ=b²-4.a.c Δ=b²-4.a.c Δ=b²-4.a.c
Δ=(-7)²-4.2.(-15) Δ=(-12)²-4.4.9 Δ=(-1)²-4.1.(-12) Δ=12²-4.2.18
Δ=49+120 Δ=144-144 Δ=1+48 Δ=144-144
Δ=169 Δ=0 Δ=49 Δ=0
x=-b ± √Δ/2.a x=-b ± √Δ/2.a x=-b ± √Δ/2.a x=-b ± √Δ/2.a
x=-(-7) ± √169/2.2 x=-(-12) ± √0/2.4 x=-(-1) ± √49/2.1 x=-12 ± √0/2.2
x=7 ± 13/4 x=12 ± 0/4 x=1 ± 7/2 x=-12 ± 0/4
x1=7+13/4 x1=12+0/4 x1=1+7/2 x1=-12+0/4
x1=20/4 x1=12/4 x1=8/2 x1=-12/4
x1=5 x1=3 x1=4 x1=-3
x2=7-13/4 x2=12-0/4 x2=1-7/2 x2=-12-0/4
x2= -6/4:2/2 x2=12/4 x2=-6/2 x2=-12/4
x2=-3/2 x2=3 x2=-3 x2=-3
S(5,-3/2) S(3,3) S(4,-3) S(-3,-3)
17)x²-x-20=0 18)x²-3x+4 19)x²-14x+48=0 20)x²+3x-28=0
Δ=b²-4.a.c Δ=b²-4.a.c Δ=b²-4.a.c Δ=b²-4.a.c
Δ=(-1)²-4.1.(-20) Δ=(-3)²-4.1.4 Δ=(-14)²-4.1.48 Δ=3²-4.1.(-28)
Δ=1+80 Δ=9-16 Δ=196-192 Δ=9+112
Δ=81 Δ=-7 Δ=4 Δ=121
x=-b ± √Δ/2.a x=-b ± √Δ/2.a x=-b ± √Δ/2.a
x=-(-1) ± √81/2.1 x=-(-14) ± √4/2.1 x=-3 ± √121/2.1
x=1 ± 9/2 x=14 ± 2/2 x=-3 ± 11/2
x1=1+9/2 x1=14+2/2 x1=-3+11/2
x1=10/2 x1=16/2 x1=8/2
x1=5 x1=8 x1=4
x2=1-9/2 x2=14-2/2 x2=-3-11/2
x2= -8/2 x2=12/2 x2=-14/2
x2=-4 x2=6 x2=-7
S(5,-4) S(8,6) S(4,-7)