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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

Find the roots of f(x) = (x - 6)2 (x + 2)2

The roots of any function f(x) are the values of x for which the value of the function f(x) = 0.

Answer: The roots of f(x) = (x - 6)2(x + 2)2 are x = 6 and x = -2

Let us proceed step by step to find the roots of f(x).

Explanation: 

Let us consider the given function, f(x) = (x - 6)2 (x + 2)2

As we know that roots are the values of x for which the value of function must be equal to zero.

Therefore, f(x) must be equal to zero.

⇒ (x - 6)2 (x + 2)2 = 0

⇒ (x - 6)2 = 0 or (x + 2)2 = 0 [ since product of both expressions is zero ]

⇒ x = 6 or x = -2 [ on simplifying the above equation ]

Hence, the roots of f(x) = (x - 6)2 (x + 2)2 are x = 6 and x = -2

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