# Solving equations algebraically

Solve the following equations algebraically. You must show all your work.

Learn how to type math roots and fractions by clicking on the link in the

assignment list. Alternately, you may ty sqrt 3 (x) as cuberoot (x) and shraising to the nth power as ^n, like x ^3 is typed x^3.

a) t sqrt (2/3) =4

b)5 sqrt (x + 1 )= 3

c) 2/3 = 2- 5x-3/x-1

2) Solve algebraically and check your potential solutions:

a) x sqrt x+2 = 0

b) What potential solution did you obtain? Explain why this is this not a

solution.

3) The volume of a cube is given by V = s ^3, where s is the length of a side.

Find the length of a side of a cube(round the answer to three decimal

places) if the volume is

a) 800 cm^3.

b) 500 cm^3

4) The formula to find the wind chill temperature is given by

W = 33 - (10.45+10SQRT (V) - V) (33 - T)

22

Where,

W is Wind Chill temperature (temperature with no wind)

T is actual temperature in Celcius

V is wind speeds in m/sec

Find the Wind Chill temperature given the following:

a) T =10^oC , v = 9m/sec

b) T = 0^o, v = 15m/sec

c) T = -10^0, v = 20m/sec

#### Solution Preview

Solve the following equations algebraically. You must show all your work.

Learn how to type math roots and fractions by clicking on the link in the

assignment list. Alternately, you may try sqrt 3 (x) as cuberoot (x) and shraising to the nth power as ^n, like x ^3 is typed x^3.

a) t sqrt (2/3) =4

Answer: t=2sqrt(6)

Show your work here: we multiply sqrt(2/3) on both sides: t*2/3=4*sqrt(2/3)

t*2/3=4*sqrt(2*3/(3*3))

t*2/3=4*sqrt(6)/3

t=2sqrt(6).

b)5 sqrt (x + 1 )= 3

Answer: x=-16/25

Show your work here: sqrt(x+1)=3/5

x+1=(3/5)^2

x=9/25-1=-16/25.

c) 2/3 = 2- 5x-3/x-1

Answer: x=5/11.

Show your work here: we multiply ...

#### Solution Summary

The expert solves equations algebraically. The potential solutions cube roots are analyzed.