Question

If the product of 5 and w to the

second power is equal to the sum of 9 and k, what is the NEGATIVE value of w makes this statement true if k=-4 ?

Answer 1

-√1/5

Explanation:

If the product of 5 and w to the second power is equal to the sum of 9 and k, this is expressed as;

(5w)² = 9 + k

Given that k = -4, on substituting;

(5w)² = 9 + (-4)

(5w)² = 9-4

(5w)² = 5

25w² = 5

5w² = 1

w² = 1/5

w = ±√1/5

w = -√1/5

Hence the NEGATIVE value of w is -√1/5