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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
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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