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  • May 2020
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1) Solve algebraically. Trial and error is not an appropriate method of solution. 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 type

as cuberoot(x) and show raising to the nth power as ^n, 3

x

like x 3 is typed x^3.

a) 3

x −5=3

Answer: x = 512

Show your work here: 3

Add 5 on both sides we get 3x=8 cubing on both sides we have (3x )3= 83 so x=512

b) 3 x2

= 27

Answer: x = 9

x −5=3

Show your work here: 3 x2

= 27

Squaring on both sides we get (x32)2=272

so x3=729

so x= 72913

so x=9

c)

3 3x − 2 =1− 4 x +1

Answer: x=911

Show your work here:

3 3x − 2 =1− 4 x +1

34=x+1-3x-2x+1

so 3x+1=4 x+1-3x+2

so 3x+3=4 -2x+3

3x+3= -8x+12

add 8x 0n both sides

so 3x+8x+3= -8x+8x+12

so 11x+3=12

add-3 on both sides

so 11x=12-3=9

so x=911

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