The product of the roots α and β can be found using the Vieta's formulas. For a quadratic equation of the form ax^2 + bx + c = 0, the product of the roots is given by the ratio of the constant term (c) to the coefficient of the quadratic term (a).
In this case, the equation is 2x^2 + 3x - 1 = 0.
Here, a = 2, b = 3, and c = -1.
The product of the roots α and β can be found as:
αβ = c/a = -1/2 = -0.50
Therefore, the product of the roots is -0.50.
Suppose α and β are the roots of an equation:2x2+3x-1=0, then the product of root of the equation is
Question 1 Select one:
0.50
0.25
0.50
0.75
1 answer