The function g is defined by g(x) = x(x − 2)(x + 6)2.The value of g(7 − w) is 0, where w is a constant.What is the sum of all possible values of w ?

Question

The function g is defined by g(x) = x(x − 2)(x + 6)2.The value of g(7 − w) is 0, where w is a constant.What is the sum of all possible values of w ?
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Solution 1

To find the sum of all possible values of w, we first need to set the equation g(7-w) = 0 and solve for w.

The function g is defined as g(x) = x(x - 2)(x + 6)^2.

So, we substitute (7-w) for x in the equation:

g(7-w) = (7-w)((7-w) - 2)((7-w) + 6)^2 = 0

This simplifies to:

(7-w)(5-w)(13-w)^2 = 0 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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