Question

Equações sendo U=Q

a) 4x²-64=0

c) 2x²-242=0

e) x²-x-30=0

f) x²-7x+10=0

g) x²-11x+30=0

h) x²-4x+8=0

i) x²-x-72=0

j) x²+10x+25=0

Answer 1

a) 4x^2-64=0
4x^2=0+64
4x^2=64
x^2=64/4
x^2=16
x= raiz de 16
x=-/+ 4
c) 2x^2-242=0
2x^2=0+242
2x^2=242
x^2=242/2
x^2=121
x= raiz de 121
x=-/+ 11
e) x^2-x-30=0
delta=b^2-4ac
delta=(-1)^2-4.1 (-30)
delta=1+120
delta=121
x=-b-/+ raiz de delta/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
f) x^2-7x+10=0
delta=b^2-4ac
delta=(-7)^2-4.1.10
delta=49-40
delta=9
x=-b-/+ raiz de delta/2a
x=-(-7)-3/2.1
x=7-3/2
x=4/2
x=2
x=-(-7)+3/2.1
x=7+3/2
x=10/2
x=5
g) x^2-11x+30=0
delta=b^2-4ac
delta=(-11)^2-4.1.30
delta=121-120
delta=1
x=-b-/+ raiz de delta/2a
x=-(-11)-1/2.1
x=11-1/2
x=10/2
x=5
x=-(-11)+1/2.1
x=11+1/2
x=12/2
x=6
h) x^2-4x+8=0
delta=b^2-4ac
delta=(-4)^2-4.1.8
delta=16-32
delta=-16
delta negativo, não há raízes reais
i) x^2-x-72=0
delta=b^2-4ac
delta=(-1)^2-4.1.(-72)
delta=1+288
delta=289
x=-b-/+ raiz de delta/2a
x=-(-1)-17/2.1
x=1-17/2
x=-16/2
x=-8
x=-(-1)+17/2.1
x=1+17/2
x=18/2
x=9
j) x^2+10x+25=0
delta=b^2-4ac
delta=10^2-4.1.25
delta=100-100
delta=0
x=-b-/+ raiz de delta/2a
x=-10-0/2.1
x=-10/2
x=-5