Final answer:
To solve the quadratic equation, we use the quadratic formula by substituting the given values for a, b, and c. After calculating the discriminant, we then find the two possible solutions for x, which represents both the positive and negative square root stated in the options provided by the student.
Step-by-step explanation:
The student's question is asking to solve a quadratic equation by completing the square. We are given the general form of a quadratic equation, ax2 + bx + c = 0, and specific values for a, b, and c which we'll need to use in the quadratic formula to find the solutions for x.
To solve a quadratic equation using the quadratic formula, we use the formula x = −b ± √(b² − 4ac)/(2a). Plugging in the values a = 4.90, b = −13.3, and c = −20.0 into the formula, we get:
−13.3 ± √(−13.3)² − 4 × 4.90 × (−20.0)
2 × 4.90
By calculating the discriminant and then using it to find both possible values of x (with both the + and − in the quadratic formula), we'll arrive at the correct solutions which likely correspond to the options (a), (b), (c), or (d) provided by the student.