Question

2+5∛x = 32 Find the value of X

Answer 1

x = 216

Explanation:

2 + 5
`\sqrt[3]{x}` = 32

Subtract 2 from both sides of the equation

i.e. 2 + 5
`\sqrt[3]{x}` - 2 = 32 - 2

5
`\sqrt[3]{x}` = 30

Take the cube of both sides of the equation

i.e. (5
`\sqrt[3]{x}`)³ = (30)³

(5)³(
`\sqrt[3]{x}`)³ = (30)³

(5 × 5 × 5)(
`\sqrt[3]{x}`)³ = (30 × 30 ×30)

125x = 27,000

Divide both sides of the equation by the coefficient of x(which is 125)

`(125x)/(125) = (27000)/(125)`

x = 216

Check

Substituting 216 for x in 2 + 5∛x = 32,

2 + 5
`\sqrt[3]{216}` = 32 (
`\sqrt[3]{216}` = 6)

2 + (5 × 6) = 32

2 + 30 = 32

∴ x = 216

Hope this helps :))