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We want to solve the following equation. x3=∣x−2∣−1\sqrt[3]{x}=|x-2|-1 One of the solutions is x≈0.3x\approx 0.3. Find the other solution. Hint: Use a graphing calculator. Round your answer to the nearest tenth.

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Q. We want to solve the following equation. x3=∣x−2∣−1\sqrt[3]{x}=|x-2|-1 One of the solutions is x≈0.3x\approx 0.3. Find the other solution. Hint: Use a graphing calculator. Round your answer to the nearest tenth.
  1. Graph Functions: First, let's graph the functions y=x3y=\sqrt[3]{x} and y=∣x−2∣−1y=|x-2|-1 on a graphing calculator.
  2. Identify Intersections: Identify the points where the graphs intersect. We already know one intersection is at x≈0.3x \approx 0.3.
  3. Locate Second Intersection: Look for the other intersection point on the graph. It appears to be around x=1.7x = 1.7.
  4. Verify Solution: Verify by substituting x=1.7x = 1.7 into the original equation:\newline1.73≈1.2and∣1.7−2∣−1=0.3−1=−0.7 \sqrt[3]{1.7} \approx 1.2 \quad \text{and} \quad |1.7-2|-1 = 0.3-1 = -0.7

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