Question

DISPONIBILIZO 45 PONTOS.
Encontrar raízes das equações usando fórmula de báscara.
conta completa

Answer 1

a)∆=4²-4.2.2
∆=16-16
∆=0 não tem raiz

b)∆=(-5)²-4.1.6
∆= 25-24
∆=1

x'= 5+1/2
x'=6/2
x'=3

x''= 5-1/2
x''=4/2
x''= 2

c)∆=(-10)²-4.1.9
∆=100-36
∆=64

x'=10+8/2
x'=18/2
x'= 9

x''=10-8/2
x''=2/2
x''=1

d)∆=(-6)²-4.1.8
∆=36-32
∆=4

x'=6+4/2
x'=10/2
x'=5

x''= 6-4/2
x''= 2/2
x"=1

e)∆=9²-4.1.(-10)
∆=81+40
∆=121

x'= -9+11/2
x'=2/2
x'=1

x"= -9-11/2
X"= -20/2
x"= -10

Answer 2

a)2x²+4x+2=0
a=2 b=4 c=2
∆=b²-4.a.c
∆=4²-4.2.2
∆=16-16
∆=0
x=-b±√∆ / 2.a
x=-4±√0 / 2.2
x=-4+0/4 = 4/4
x'=1

x=-4-0/4 = 4/4
x"=1

b)x²-5x+6=0
a=1 b=-5 c=6
∆=b²-4.a.c
∆=(-5)²-4.1.6
∆=25-24
∆=1
x=-b±√∆ / 2.a
x=-(-5)±√1 / 2.1
x=+5+1 / 2 = 6/2
x'=3

x=+5-1 / 2 = 4/2
x"=2

c)x²-10x+9=0
a=1 b=-10 c=9
∆=b²-4.a.c
∆=(-10)²-4.1.9
∆=100-36
∆=64
x=-b±√∆ / 2.a
x=-(-10)±√8 / 2.1
x=+10+8 / 2 = 18/2
x'=9

x=+10-8 / 2 = 2/2
x"=1

d)x²-6x+8=0
a=1 b=-6 c=8
∆=b²-4.a.c
∆=(-6)²-4.1.8
∆=36-32
∆=4
x=-b±√∆ / 2.a
x=-(-6)±√4 / 2.1
x=+6+2 / 2 = 8/2
x'=4

x=+6-2 / 2 = 4/2
x"=2

e)x²+9x-10=0
a=1 b=9 c=-10
∆=b²-4.a.c
∆=9²-4.1. (-10)
∆=81+40
∆=121
x=-b±√∆ / 2.a
x=-9±√11 / 2.1
x=-9+11 / 2 = -20/2
x'=-10

x=-9-11 / 2 = 2/2
x"=1

f)4x²-100=0
4x²=0+100
4x²=100
x²=100/4
x=25
x=±√25
x=±5
x'=+5
x"=-5