Question

a) x2-5x+6=0 b)x2-2x+1=0 c) x2+6x+5=0 d) x2-13x+_42=0 e)4x2-36=0

Answer 1

a) x^2-5x+6=0
delta=b^2-4ac
delta=(-5)^2-4.1.6
delta=25-24
delta=1
x=-b-/+ raiz de delta/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
b) x^2-2x+1=0
delta=b^2-4ac
delta=(-2)^2-4.1.1
delta=4-4
delta=0
x=-b-/+ raiz de delta/2a
x=-(-2)-0/2.1
x=2-0/2
x=2/2
x=1
c) x^2+6x+5=0
delta=b^2-4ac
delta=6^2-4.1.5
delta=36-20
delta=16
x=-b-/+ raiz de delta/2a
x=-6-4/2.1
x=-10/2
x=-5
x=-6+4/2.1
x=-2/2
x=-1
d) x^2-13x+42=0
delta=b^2-4ac
delta=(-13)^2-4.1.42
delta=169-168
delta=1
x=-b-/+ raiz de delta/2a
x=-(-13)-1/2.1
x=13-1/2
x=12/2
x=6
x=-(-13)+1/2.1
x=13+1/2
x=14/2
x=7
e) 4x^2-36=0
4x^2=0+36
4x^2=36
x^2=36/4
x^2=9
x= raiz de 9
x= -/+ 3