Question

Please help me with this

Answer 1

x = -
`(1)/(4)`

Explanation:

64x³+1=0

Add 1 to both sides:

64x³=-1

Divide both sides by 64:

x³=-
`(1)/(64)`

Find cubed root of both sides:

x=-
`\sqrt[3]{(1)/(64)}`

Note that
`\sqrt[n]{(a)/(b)}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}` :

x=-
`\frac{\sqrt[3]{1} }{\sqrt[3]{64} }`

Evaluate:

x = -
`(1)/(4)`

Answer 2

F

Explanation:

64x³ = -1

x³ = -1/64

x = ∛-1/∛64

x = -1/4