Question

How many real solutions does the equation have?

w² - 47 = -47
no real solution
one real solution
two real solutions

Answer 1

one real solution

Explanation:

A "solution" to a function is the input value where the output is zero.

So, we are to solve for the input w in the given equation, and we can make the other side zero by adding 47 to both sides, then square-rooting both sides:

w² - 47 + 47 = 0

w² = 0

√w² = √0

w = 0

Hence, there is one real solution to the equation, which will be at w = 0.