Question

2+5∛x = 32 Find the value of X

Answer 1

Answer:

x = 216

Step-by-step 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)

$\frac{125x}{125} = \frac{27000}{125}$

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 :))