Therefore, the radius of the sphere is 6 units.
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- Take the square root of both sides:
- \[ r = \sqrt{36} \]
- \[ r = 6 \]
- Solve the quadratic equation \( 2x^2 - 4x - 6 = 0 \) using the quadratic formula \( x = rac{-b \pm \sqrt{b^2 - 4ac}}{2a} \).
- The quadratic equation is \( 2x^2 - 4x - 6 = 0 \), where \( a = 2 \), \( b = -4 \), and \( c = -6 \).
- Calculate the discriminant:
