Solving the given equation, we get the solutions as -4 and 4
What are equations?
Equations are relations between two expressions used to solve for the value of one or more variables.
How do we solve the given question?
We are given an equation,
∛(x² - 8) = 2
To solve the above equation, we do the following steps:
Cubing both sides of the equation, we get
(∛(x² - 8))³ = 2³
or, x² - 8 = 8, cube root and cube gets cancelled and 2³ = 8.
Now we subtract 8 from both sides of the equation to get:
x² - 8 - 8 = 8 - 8
or, x² - 16 = 0
Factorizing the above equation we get,
(x+4)(x-4) = 0
Now by the zero-product rule, we can say that
Either (x+4) = 0 ⇒ x = -4
Or (x-4) = 0 ⇒ x = 4
∴ Solutions to the given equation are -4,4
Learn more about Solving equations at
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