product of the roots of the equation 2x^2 – 3x – 4 = 0
c/a = -4/2 = -2
To find the product of the roots of the equation 2x^2 – 3x – 4 = 0, we need to use the Vieta's formulas.
The equation is in the form ax^2 + bx + c = 0, where:
a = 2
b = -3
c = -4
According to Vieta's formulas, the product of the roots (denoted as p) is given by:
p = c / a
Substituting the values, we get:
p = -4 / 2 = -2
Therefore, the product of the roots of the equation 2x^2 – 3x – 4 = 0 is -2.
To find the product of the roots of a quadratic equation, you can use the fact that the product of two numbers is equal to the constant term divided by the coefficient of the quadratic term.
For the equation 2x^2 – 3x – 4 = 0, the quadratic term coefficient is 2 and the constant term is -4. So, the product of the roots can be found by dividing the constant term (-4) by the coefficient of the quadratic term (2):
Product of roots = Constant term / Coefficient of quadratic term
= -4 / 2
= -2
Therefore, the product of the roots of the equation 2x^2 – 3x – 4 = 0 is -2.