Matematicas

MATEMÁTICAS




TALLER GRUPAL # 1 – EJERCICIOS



POR GRUPO 2


ASSIGNMENT ON EQUATIONS AND INEQUATIONS
Trabajo Grupal # 1

By: Ana Dulcelina Lopez Rueda

Note: Solve theassignment and send ONLY the exercises indicated by the teacher

1. Change the following propositions into one variable equation

a) Seven times a number equals five more than the number
b) Seventeen lessfour times a number equals twenty added to six times the number.
c) A number divided by four equals thirty added to nine times the number.
d) The addition of four pair and consecutive numbers isequal to 28
e) Five times a number less than three times the number equal the same number plus 45.

2. Solve the following equations

a) 2(x-3)² - 3(x+1)² + (x-5)(x-3) + 4(x²-5x+1) = 4x²-12
b)5(x+2)/12 + 4/9 - (22-x)/36 = 3x - 20 - (8-x)/12 - (20 - 3x)/18
c) (x-2)/(x²+8x+7) = (2x-5)/(x²-49) - (x-2)/(x²-6x-7)
d) (x+a)/(x-a) - (x-a)/(x+a) = a(2x+ab)/(x²-a²)
e) (2X-3) = 3X+5
f) (x-2)² -(2x+3)² = -80
g) x²/3 - (x-9)/6 = 3/2
h) 4x-3> 2x - 5

3. Solve the following exercises from the Arya Book

a) Exercise 2-2. Numeral: 15, 31
b) Exercise 2-4. Numeral: 23
c) Exercise 3-3.Numeral: 17, 28

SOLUTION

1. Change the following propositions into one variable equations

a) 7X = X + 5
b) 4X- 17 = 6X + 20
c) X/4 = 9X + 30
d) 2X +3X +4X +5X = 28
e) 5X - 3X =X + 45

2. Solve the following equations.

a) 2(x-3)² - 3(x+1)² + (x-5)(x-3) + 4(x²-5x+1) = 4x²-12

(x-3)[2(x-3)+(x-5)]-3(x+1)²+4(x²-5x+1)=4x²-12

(x-3)[2x-6+x-5]-3(x+1)²+4x²-20x+4=4x²-12(x-3)[3x-11]-3(x+1)²+4x²-20x+4-4x²+12=0

3x²-11x-9+33-3(x+1)²-20x+16=0

3x²-40x+49-3(x+1)²=0

3x²-40x+40-3(x²+2x+1)=0

3x²-40x+40-3x²-6x-3=0

-46x+37=0→-46x=-37→46x=37

Rta: x= 37/46b) + –












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f)










g)









h)







3. Solve the following...