How many solutions does this equation have and what are they? 3 ^{2} = 16 - x^{2}

9514 1404 393

  2 solutions: x = ±√7

Step-by-step 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}

27

step-by-step explanation:

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