Question

Solve for all solutions of the equation. Show all work for full credit.

x^3 - 8 = 0


I'm mainly struggling with getting it into perfect cube form

Answer 1

Factor using difference of cubes and set each factor equal to

0

.

x

=

2

,

−

1

+

i

√

3

,

−

1

−

i

√

3

Step-by-step explanation:Factor using difference of cubes and set each factor equal to

0

.

x

=

2

,

−

1

+

i

√

3

,

−

1

−

i

√

3

Answer 2

Hey there!

“x³ – 8 = 0”

• ADD BOTH of your SIDES BY 8

x³ – 8 + 8 = 0 + 8

• CANCEL out: –8 + 8 because that gives you 0

• KEEP: 0 + 8 because it helps us solve for your x-value

0 + 8 = 8

x³ = 8

• SECOND: TAKE your CUBE ROOT

x = 8^1/3

SOLVE ABOVE AND YOU HAVE YOUR x-value!

x = 2 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)