Question

How many solutions does this equation have and what are they?

3 ^{2} = 16 - x^{2}

Answer 1

9514 1404 393

Answer:

2 solutions: x = ±√7

Explanation:

We can add x^2 -9 to both sides of the equation to get ...

3^2 +(x^2 -9) = 16 -x^2 +(x^2 -9)

x^2 = 7

Taking the square root gives us the two values of x that are solutions.

x = ±√7 ≈ {-2.646, 2.646}