We want to solve the following equation.x2−4=32xOne of the solutions is x≈2.4.Find the other solution.Hint: Use a graphing calculator.Round your answer to the nearest tenth.x≈
Q. We want to solve the following equation.x2−4=32xOne of the solutions is x≈2.4.Find the other solution.Hint: Use a graphing calculator.Round your answer to the nearest tenth.x≈
Write down the equation: First, let's write down the equation we need to solve:x2−4=32xWe are given that one of the solutions is approximately x≈2.4. We need to find the other solution.
Use graphing calculator: To find the other solution, we can use a graphing calculator to plot the two functions y=x2−4 and y=32x and find their intersection points.
Find intersection points: After plotting the functions on the graphing calculator, we look for the x-value of the intersection point that is not x≈2.4. This will be the other solution to the equation.
Round to nearest tenth: Upon observing the graph, we find that the other intersection point occurs at an x-value that we need to round to the nearest tenth to answer the question prompt.
Final answer: Assuming the graphing calculator gives us an accurate intersection point, we round this value to the nearest tenth to get our final answer.