Question

find the sum and product of roots for the given polynoimal 2x²+x-5=0 ​

Answer 1

ur answer in attachment:

hope it helps...

Answer 2

The sum of roots is $-\frac{1}{2}$ and the product is $-\frac{5}{2}$.

Step-by-step explanation:

The equation is:

$2x^{2}+x-5=0$

The equation is a quadratic equation.

For a quadratic equation the sum and product of roots (α and β) are:

$\alpha +\beta =-\frac{b}{a}$

$\alpha \times \beta =\frac{c}{a}$

In this case:

a = 2

b = 1

c = -5

Compute the sum of roots as follows:

$\alpha +\beta =-\frac{b}{a}=-\frac{1}{2}$

Compute the product of roots as follows:

$\alpha \times \beta =\frac{c}{a}=\frac{-5}{2}=-\frac{5}{2}$

Thus, the sum of roots is $-\frac{1}{2}$ and the product is $-\frac{5}{2}$.