Funkalucious
contestada

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

Respuesta :

KarrDobbins

Answer:

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

Amphitrite1040

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:)

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