Question

tem como resolverem essa equações pra mim socorro tenho q entregar hj

Answer 1

faz soma e produto nas equaçaoes 
e alguns depois da igualdade joga do outro lado substituido

Answer 2

1) x²-5x+6=0
∆=b²-4ac
∆=(-5)²-4.1.6
∆=25-24
∆=1
x=-b±√∆/2a
x=-(-5)-1/2.1
x=5-1/2
x=4/2
x=2
x=-(-5)+1/2.1
x=5+1/2
x=6/2
x=3
S={(2, 3)}
2) x²-8x+12=0
∆=b²-4ac
∆=(-8)²-4.1.12
∆=64-48
∆=16
x=-b±√∆/2a
x=-(-8)-4/2.1
x=8-4/2
x=4/2
x=2
x=-(-8)+4/2.1
x=8+4/2
x=12/2
x=6
S={(2, 6)}
3) x²+2x-8=0
∆=b²-4ac
∆=2²-4.1.(-8)
∆=4+32
∆=36
x=-b±√∆/2a
x=-2-6/2.1
x=-8/2
x=-4
x=-2+6/2.1
x=4/2
x=2
S={(-4, 2)}
4) x²-5x+8=0
∆=b²-4ac
∆=(-5)²-4.1.8
∆=25-32
∆=-7
∆ negativo, não há raízes reais
5) 2x²-8x+8=0
∆=b²-4ac
∆=(-8)²-4.2.8
∆=64-64
∆=0
x=-b±√∆/2a
x=-(-8)-0/2.2
x=8-0/4
x=8/4
x=2
S={2}
6) x²-4x-5=0
∆=b²-4ac
∆=(-4)²-4.1.(-5)
∆=16+20
∆=36
x=-b±√∆/2a
x=-(-4)-6/2.1
x=4-6/2
x=-2/2
x=-1
x=-(-4)+6/2.1
x=4+6/2
x=10/2
x=5
S={(-1, 5)}
7) -x²+x+12=0
∆=b²-4ac
∆=1²-4.(-1).12
∆=1+48
∆=49
x=-b±√∆/2a
x=-1-7/2.(-1)
x=-8/-2
x=4
x=-1+7/2.(-1)
x=6/-2
x=-3
S={(-3, 4)}
8) -x²+6x-5=0
∆=b²-4ac
∆=6²-4.(-1).(-5)
∆=36-20
∆=16
x=-b±√∆/2a
x=-6-4/2.(-1)
x=-10/-2
x=5
x=-6+4/2.(-1)
x=-2/-2
x=1
S={(1, 5)}
9) 6x²+x-1=0
∆=b²-4ac
∆=1²-4.6.(-1)
∆=1+24
∆=25
x=-b±√∆/2a
x=-1-5/2.6
x=-6/12 (÷6)
x=-1/2
x=-1+5/2.6
x=4/12 (÷4)
x=1/3
S={(-1/2, 1/3)}
10) 3x²-7x+2=0
∆=b²-4ac
∆=(-7)²-4.3.2
∆=49-24
∆=25
x=-b±√∆/2a
x=-(-7)-5/2.3
x=7-5/6
x=2/6 (÷2)
x=1/3
x=-(-7)+5/2.3
x=7+5/6
x=12/6
x=2
S={(1/3 , 2)}
11) 2x²-7x=15
2x²-7x-15=0
∆=b²-4ac
∆=(-7)²-4.2.(-15)
∆=49+120
∆=169
x=-b±√∆/2a
x=-(-7)-13/2.2
x=7-13/4
x=-6/4 (÷2)
x=-3/2
x=-(-7)+13/2.2
x=7+13/4
x=20/4
x=5
S={(-3/2, 5)}
12) 4x²+9=12x
4x²-12x+9=0
∆=b²-4ac
∆=(-12)²-4.4.9
∆=144-144
∆=0
x=-b±√∆/2a
x=-(-12)-0/2.4
x=12-0/8
x=12/8 (÷4)
x=3/2
S={3/2}
13) x²=x+12
x²-x-12=0
∆=b²-4ac
∆=(-1)²-4.1.(-12)
∆=1+48
∆=49
x=-b±√∆/2a
x=-(-1)-7/2.1
x=1-7/2
x=-6/2
x=-3
x=-(-1)+7/2.1
x=1+7/2
x=8/2
x=4
S={(-3, 4)}
14) 2x²=-12x-18
2x²+12x+18=0
∆=b²-4ac
∆=12²-4.2.18
∆=144-144
∆=0
x=-b±√∆/2a
x=-12-0/2.2
x=-12/4
x=-3
S={(-3)}
15) x²+9=4x
x²-4x+9=0
∆=b²-4ac
∆=(-4)²-4.1.9
∆=16-36
∆=-20
∆ negativo, não há raízes reais. S={ }
16) 25x²=20x-4
25x²-20x+4=0
∆=b²-4ac
∆=(-20)²-4.25.4
∆=400-400
∆=0
x=-b±√∆/2a
x=-(-20)-0/2.25
x=20-0/50
x=20/50 (÷10)
x=2/5
S={2/5}
17) 2x=15-x²
x²+2x-15=0
∆=b²-4ac
∆=2²-4.1.(-15)
∆=4+60
∆=64
x=-b±√∆/2a
x=-2-8/2.1
x=-10/2
x=-5
x=-2+8/2.1
x=6/2
x=3
S={(-5, 3)}
18) x²+3x-6=-8
x²+3x-6+8
x²+3x+2=0
∆=b²-4ac
∆=3²-4.1.2
∆=9-8
∆=1
x=-b±√∆/2a
x=-3-1/2.1
x=-4/2
x=-2
x=-3+1/2.1
x=-2/2
x=-1
S={(-2, -1)}
19) x²+x-7=5
x²+x-7-5
x²+x-12=0
∆=b²-4ac
∆=1²-4.1.(-12)
∆=1+48
∆=49
x=-b±√∆/2a
x=-1-7/2.1
x=-8/2
x=-4
x=-1+7/2.1
x=6/2
x=3
S={(-4, 3)}
20) 4x²-x+1=x+3x²
4x²-3x²-x-x+1
x²-2x+1=0
∆=b²-4ac
∆=(-2)²-4.1.1
∆=4-4
∆=0
x=-b±√∆/2a
x=-(-2)-0/2.1
x=2-0/2
x=2/2
x=1
S={1}
21) 3x²+5x=-x-9+2x²
3x²-2x²+5x+x+9
x²+6x+9=0
∆=b²-4ac
∆=6²-4.1.9
∆=36-36
∆=0
x=-b±√∆/2a
x=-6-0/2.1
x=-6/2
x=-3
S={-3}
22) 4+x(x-4)=x
4+x²-4x=x
x²-4x-x+4
x²-5x+4=0
∆=b²-4ac
∆=(-5)²-4.1.4
∆=25-16
∆=9
x=-b±√∆/2a
x=-(-5)-3/2.1
x=5-3/2
x=2/2
x=1
x=-(-5)+3/2.1
x=5+3/2
x=8/2
x=4
S={(1, 4)}
23) x(x+3)-40=0
x²+3x-40=0
∆=b²-4ac
∆=3²-4.1.(-40)
∆=9+160
∆=169
x=-b±√∆/2a
x=-3-13/2.1
x=-16/2
x=-8
x=-3+13/2.1
x=10/2
x=5
S={(-8, 5)}
24) x²+5x+6=0
∆=b²-4ac
∆=5²-4.1.6
∆=25-24
∆=1
x=-b±√∆/2a
x=-5-1/2.1
x=-6/2
x=-3
x=-5+1/2.1
x=-4/2
x=-2
S={(-3, -2)}
25) x²+7x+12=0
∆=b²-4ac
∆=7²-4.1.12
∆=49-48
∆=1
x=-b±√∆/2a
x=-7-1/2.1
x=-8/2
x=-4
x=-7+1/2.1
x=-6/2
x=-3
S={(-4, -3)}
26) x²+5x+4=0
∆=b²-4ac
∆=5²-4.1.4
∆=25-16
∆=9
x=-b±√∆/2a
x=-5-3/2.1
x=-8/2
x=-4
x=-5+3/2.1
x=-2/2
x=-1
S={(-4, -1)}
27) 7x²+x+2=0
∆=b²-4ac
∆=1²-4.7.2
∆=1-56
∆=-55
∆ negativo, não há raízes reais. S={ }
28) x²-18x+45=0
∆=b²-4ac
∆=(-18)²-4.1.45
∆=324-180
∆=144
x=-b±√∆/2a
x=-(-18)-12/2.1
x=18-12/2
x=6/2
x=3
x=-(-18)+12/2.1
x=18+12/2
x=30/2
x=15
S={(3, 15)}
29) -x²-x+30=0
∆=b²-4ac
∆=(-1)²-4.(-1).30
∆=1+120
∆=121
x=-b±√∆/2a
x=-(-1)-11/2.(-1)
x=1-11/-2
x=-10/-2
x=5
x=-(-1)+11/2.(-1)
x=1+11/-2
x=12/-2
x=-6
S={(-6, 5)}
30) x²-6x+9=0
∆=b²-4ac
∆=(-6)²-4.1.9
∆=36-36
∆=0
x=-b±√∆/2a
x=-(-6)-0.2.1
x=6-0/2
x=6/2
x=3
S={3}
31) x²+3x-28=0
∆=b²-4ac
∆=3²-4.1.(-28)
∆=9+112
∆=121
x=-b±√∆/2a
x=-3-11/2.1
x=-14/2
x=-7
x=-3+11/2.1
x=8/2
x=4
S={(-7, 4)}
32) 3x²-4x+2=0
∆=b²-4ac
∆=(-4)²-4.3.2
∆=16-24
∆=-8
∆ negativo, não há raízes reais. S={ }
33) x²-3=4x+2
x²-4x-3-2
x²-4x-5=0
∆=b²-4ac
∆=(-4)²-4.1.(-5)
∆=16+20
∆=36
x=-b±√∆/2a
x=-(-4)-6/2.1
x=4-6/2
x=-2/2
x=-1
x=-(-4)+6/2.1
x=4+6/2
x=10/2
x=5
S={(-1, 5)}