Question

qual seria a equação incompleta sendo U=IR
A)3x²+5x=0
B)4x²-12x=0
C)X²+X(X-6)=0
D)(x-2)²=4-9x
E)x(x-3)-2(x-3)=6

Answer 1

a) 3x^2+5x=0
delta=b^2-4ac
delta=5^2-4.3.0
delta=25-0
delta=25
x=-b-/+ raiz de delta/2a
x=-5-5/2.3
x=-10/6 (:2)
x=-5/3
x=-5+5/2.3
x=0/6
x=0
b) 4x^2-12x=0
delta=b^2-4ac
delta=(-12)^2-4.4.0
delta=144-0
delta=144
x=-b-/+ raiz de delta/2a
x=-(-12)-12/2.4
x=12-12/8
x=0/8
x=0
x=-(-12)+12/2.4
x=12+12/8
x=24/8
x=3
c) x^2+x(x-6)=0
x^2+x^2-6x
2x^2-6x=0
delta=b^2-4ac
delta=(-6)^2-4.2.0
delta=36-0
delta=36
x=-b-/+ raiz de delta/2a
x=-(-6)-6/2.2
x=6-6/4
x=0/4
x=0
x=-(-6)+6/2.2
x=6+6/4
x=12/4
x=3
d) (x-2)^2=4-9x
x^2+2.x.(-2)+(-2)^2=4-9x
x^2-4x+4=4-9x
x^2-4x+9x+4-4
x^2+5x=0
delta=b^2-4ac
delta=5^2-4.1.0
delta=25-0
delta=25
x=-b-/+ raiz de delta/2a
x=-5-5/2.1
x=-10/2
x=-5
x=-5+5/2.1
x=0/2
x=0
e) x(x-3)-2(x-3)=6
x^2-3x-2x+6=6
x^2-3x-2x+6-6
x^2-5x=0
delta=b^2-4ac
delta=(-5)^2-4.1.0
delta=25-0
delta=25
x=-b-/+ raiz de delta/2a
x=-(-5)-5/2.1
x=5-5/2
x=0/2
x=0
x=-(-5)+5/2.1
x=5+5/2
x=10/2
x=5