Final answer:
The solutions to the equation 9x^2 = 49, rounded to the nearest tenth, are approximately ±2.3.
Step-by-step explanation:
The solutions to the equation 9x^2 = 49, rounded to the nearest tenth, can be found by solving the equation. First, divide both sides of the equation by 9 to isolate the x^2 term: x^2 = 49/9. Next, take the square root of both sides to solve for x: x = ±√(49/9). Simplifying this expression gives x = ±7/3. Rounding these solutions to the nearest tenth would result in x ≈ ±2.3.