Answer: x ≈ -22.35 or x ≈ -7.65.
Explanation:
To solve for x, we can first take the square root of both sides:
x + 15 = ±√54
Simplifying the right side:
x + 15 ≈ ±7.35
Subtracting 15 from both sides:
x ≈ -15 ± 7.35
x ≈ -22.35 or x ≈ -7.65
Rounding to the nearest hundredth:
x ≈ -22.35 or x ≈ -7.65
Therefore, the solutions to the equation (x+15)^2=54 rounded to the nearest hundredth are x ≈ -22.35 or x ≈ -7.65.