Suppose α and β are the roots of an equation:2x2+3x-1=0, then the product of root of the equation is

Question

Question 9 Select one:

0.75

-0.50

0.25

-1/2

Answer 1

To find the product of the roots (α and β), we can use Vieta's formulas.

Vieta's formulas state that for a quadratic equation ax^2 + bx + c = 0 with roots α and β, the sum of the roots is -b/a and the product of the roots is c/a.

In this case, the given equation is 2x^2 + 3x - 1 = 0.

Comparing this equation with the general form ax^2 + bx + c = 0, we can see that a = 2, b = 3, and c = -1.

Therefore, the product of the roots is c/a = (-1)/2 = -1/2.

So, the correct answer is -1/2.