Given that the roots of the equation 3x2 - 4x + 2 = 0 are alpha and beta.

April 5, 2026Mathematics

ScanSolve AI Answer

April 5, 2026

Answer

0 $are$ \alpha $and$ \beta$.

Here are the solutions to the questions:

1. (i) Given that the roots of the equation $3x^2 - 4x + 2 = 0$ are $\alpha$ and $\beta$ .

a) Show that $\alpha^3 + \beta^3 = -\frac{8}{27}$ . Step 1: Identify the sum and product of roots from the given quadratic equation $3x^2 - 4x + 2 = 0$ . For $ax^2 + bx + c = 0$ , the sum of roots is $\alpha + \beta = -\frac{b}{a}$ and the product of roots is $\alpha\beta = \frac{c}{a}$ . Here, $a=3$ , $

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Quick Answer

1. (i) Given that the roots of the equation 3x^2 - 4x + 2 = 0 are and .

Asked on April 5, 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 April 5, 2026

Here are the solutions to the questions: 1. (i) Given that the roots of the equation 3x^2 - 4x + 2 = 0 are and . a) Show that ^3 + ^3 = -(8)/(27). Step 1: Identify the sum and product of roots from the given quadratic equation 3x^2 - 4x + 2 = 0. For ax^2 + bx + c = 0, the sum of roots is + = -(b)/(a) and the product of roots is = (c)/(a). Here, a=3, $