Form the quadratic equation whose roots are 3 and 2/3.

June 3, 2026Mathematics

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June 3, 2026

Answer

3 $and$ \beta = \frac{1}{2}$.

6. Form the quadratic equation whose roots are 3 and $\frac{1}{2}$ .

Step 1: Identify the sum and product of the roots. Given roots are $\alpha = 3$ and $\beta = \frac{1}{2}$ . Sum of roots: $\alpha + \beta = 3 + \frac{1}{2} = \frac{6}{2} + \frac{1}{2} = \frac{7}{2}$ . Product of roots: $\alpha\beta = 3 \times \frac{1}{2} = \frac{3}{2}$ .

Step 2: Use the general form of a quadratic equation. The general form of

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6. Form the quadratic equation whose roots are 3 and (1)/(2).

Asked on June 3, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on June 3, 2026

6. Form the quadratic equation whose roots are 3 and (1)/(2). Step 1: Identify the sum and product of the roots. Given roots are = 3 and = (1)/(2). Sum of roots: + = 3 + (1)/(2) = (6)/(2) + (1)/(2) = (7)/(2). Product of roots: = 3 × (1)/(2) = (3)/(2). Step 2: Use the general form of a quadratic equation. The general form of ✂️ _That answer was long and got cut off. Reply continue and I'll finish it._