8 and 10 sum of the product of the roots of a quadratic equation
Answer (1)
Answer:To find the sum of the product of the roots of a quadratic equation, we use the quadratic formula and Vieta's formulas.Given a quadratic equation in the form:\[ ax^2 + bx + c = 0 \]The product of the roots of the equation is given by Vieta's formula:\[ \text{Product of the roots} = \frac{c}{a} \]The sum of the product of the roots is not a standard term. Instead, the roots' product (not the sum of their products) is typically calculated.However, if you're looking for a quadratic equation where the sum of the product of the roots taken two at a time is specified, note that:- For a quadratic equation \(ax^2 + bx + c = 0\): - The sum of the roots is \(-\frac{b}{a}\). - The product of the roots is \(\frac{c}{a}\).If you have two distinct quadratic equations, such as \(8x^2 + bx + c = 0\) and \(10x^2 + dx + e = 0\), and you want the sum of the products of their roots, then you would find:1. **For \(8x^2 + bx + c = 0\)**: - Product of the roots is \(\frac{c}{8}\).2. **For \(10x^2 + dx + e = 0\)**: - Product of the roots is \(\frac{e}{10}\).Thus, the sum of the products of the roots for these two equations is:\[ \frac{c}{8} + \frac{e}{10} \]To be precise, you need the values of \(c\) and \(e\) to calculate this sum. If not provided, this is the formula you would use based on the specific quadratic equations in question.Step-by-step explanation:kindly brainly me, thank you. happy learning! :)
