2x² - 3x - 20= 0 what is the sum of roots and product of roots

To solve for the sum and product of the roots of the quadratic equation \(2x^2 - 3x - 20 = 0\), we can use the properties of quadratic equations.

Given a quadratic equation in the form \(ax^2 + bx + c = 0\):

- The **sum of the roots** is given by \(-\frac{b}{a}\).
- The **product of the roots** is given by \(\frac{c}{a}\).

Here, for the equation \(2x^2 - 3x - 20 = 0\):

- \(a = 2\)
- \(b = -3\)
- \(c = -20\)

### Sum of the Roots:
\[
\text{Sum of the roots} = -\frac{b}{a} = -\frac{-3}{2} = \frac{3}{2}
\]

### Product of the Roots:


Explore how to find the sum and product of the roots of the quadratic equation 2x^2 - 3x - 20 = 0. Learn about the properties of quadratic equations, including the formula for the sum and product of roots. Suitable for high school students.

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