Post on 09-Oct-2015
description
5/19/2018 Bach1 Problemas Tema4
1/5
(2n+ 1)2 + (2n+ 3)2 = 1570 = x2 + (x+ 2)2 = 1570 = x2 +x2 + 4x+ 4 = 1570 = 2x2 + 4x 1566 =
0 = x2 + 2x 783 = 0 =
x= 23136
2 =256
2 =
27
29 no valida
Dividendo= cocientedivisor+resto=
x+y = 147
x= 5y+ 9= 5y+ 9 + y = 147 = 6y= 138 = y= 23 = x=
A x= C0 (103)1
B x+ 1250 =C0 (104)1
B A= 1250 = 104 C0 103 C0 = 1250 = 001 C0 = C0 = 12
50
001 = 1250
H oy En 5 anos
Padre 4x 3 (x+ 5)
Hija x x+ 5
4x+ 5 = 3 (x+ 5) = 4x+ 5 = 3x+ 15 = x= 10
Hace 3 anos Dentro de 6 anos
Persona 1 6x 3 (x+ 9)
Persona 2 x x+ 9
6x + 9 = 3 (x+ 9) = 6x + 9 = 3x + 27 = 3x= 18 = x= 6
5/19/2018 Bach1 Problemas Tema4
2/5
x+y = 32
20x+ 5y = 400=
x= 32 y
20 (32 y) + 5y = 400= 640 20y+ 5y = 400 =15y= 240 = y= 16
=
v =
AB = (100, 180)
x0100
= y32180
= x = 100y3200180
= 5y1609
x= 32 = 32 = 5y1609
= 288 = 5y 160 = 448 = 5y= y = 896
1
3
1
5
x+1
y+1 = 1
3 3x+ 3 =y + 1
x3y3 =
1
5 5x 15 =y 3
= 2x 18 = 4 = 2x= 14 = x= 7
3x+ 3 =y + 1 = 21 + 3 =y + 1 = y= 23
x
y= 7
23
25 = x12
+ x4
25 = 4x12
= 30 = 4x= x= 75
l1, l2 A1, A2 B1, B2
l1+l2 = 1000
l1= A1+B1 = 3B1+B1= 4B1
l2 =
A2+
B2=
B2+
B2 = 2
B2
=
4B1+ 2B2= 1000
B1+B2 = 400= 2B1= 200 = B1= 100
B2= 300
A1= 300 A2 = 300
l1= 400 50 = 20,000 l2= 600 60 = 36,000
5/19/2018 Bach1 Problemas Tema4
3/5
cm2
P = 2x+ 2y= 50 = y = 502x
2 = 25 x= A= x (25 x)
156 = 25x x2 = x2 25x+ 156 = 0 = x= 25252411562 = 2512 = 2512 =
1312
x+y = 36
2x+y = 60= x= 24
= y= 12
x+y = 825
115x+ 095y= 86375=
115x+ 115y= 94875
115x+ 095y= 86375= 020y= 85 = y= 425 = x= 400
x+y = 35
094x+ 088y= 3140=
094x+ 094y = 3290094x+ 088y = 3140
= 006y = 150 = x= 10 = y = 25
094 10 = 940
25 088 = 22
e= v t
A x= 90 t= x= 90t
B x+ 10 = 115 t= x= 115t 10= 90t = 115t 10 = 25t = 10 = t = 10
25 = m
60 = m =
600
25 = 24
5/19/2018 Bach1 Problemas Tema4
4/5
e= v t A x= 80 t
B 22 x= 100 (t 005)=
t= x
80
t= 22x100
+ 005= x
80 = 22x
100 + 005 = x
80 = 27x
100 = x
4 =
27x5
=
= 5x= 108 4x= 9x= 108 = x= 12
=
x y = 35
(x+ 2) (y 3) = 18=
x= 35
y
(x+ 2) (y 3) = 18=
35
y+ 2 (y 3) = 18 =
= 35 + 2y 105y 6 = 18 = 2y 105
y+ 11 = 0
= 2y2 + +11y 105 = 0 = y= 1131
4 =
5
105
y = 5 = x = 7
x y= 360
(x 4) (y+ 45) = 360=
x= 360
y
(x 4) (y+ 45) = 360=
360
y 4 (y+ 45) = 360
=
360
4y
+
1620
y
18 = 360 =
4y
+
1620
y
18 = 0
=
4y2
+ 18y
1620 = 0 =
2y2
+ 9y
810 = 0 =
= y= 9814
=
18
225
y = 18 = x = 20
Julia y
Clara 02 xMiguel y+ 100
02x+y = 850
y+ 02x+y+ 100 =x=
02x+y = 850
08x 2y= 100=
04x+ 2y= 1700
08x 2y= 100=
= 12x= 1800 = x= 1500
= y= 850 02 1500 = 550
Julia y 550 hojas 550 001 = 55Clara 02 x 300 hojas 300 001 = 3
Miguel y+ 100 650 hojas 650 001 = 65
5/19/2018 Bach1 Problemas Tema4
5/5
z
y= 3
4= 4z 3y= 0
x+y+z = 800
10x+ 20y+ 50z= 16000
3y+ 4z= 0
=
x+y+z = 800
x+ 2y+ 5z = 1600
3y+ 4z = 0
=
x+y+z = 800
y+ 4z = 800
3y+ 4z = 0
=
x+y+z = 800
y+ 4z = 800
16z= 2400
z = 240016
= 150
= y+ 4z = 800 = y = 800 4z = 800 4 150 = 200
=
x+y+z = 800 = x= 800 y z= 800 200 150 = 450
A+B +C= 270
B+C=A+ 30
035 (A+B) =C
=
A+B+C= 270
A+B+C= 30
035 A+ 035B C= 0
=
A+B +C= 270
2B+ 2C= 300
135C= 945
= C = 945
135 = 70
2B+ 2C= 300 =
B+ C= 150 =
B = 150
C= 150
70 = 80
A+B+C= 270 = A= 270B C= 270 80 70 = 120