Question

find the sum and product of root of the quadratic equation 3x²+7x+1=0.​

Answer 1

Answer:

sum of roots = -7/3 and product of roots = 1/3

Step-by-step explanation:

let the two roots be α and β

α+β = - b/a = -7/3

αβ = c/a = 1/3

Answer 2

Answer:

The sum and product of the quadratic equation 3x^2+ 7x+ 1= 0 are $\frac{-7}{3}$ and $\frac{1}{3}$ respectively

Step-by-step explanation:

If we are given a quadratic equation of the form $ax^2+ bx+ c=\,0$, then the sum of its roots is $\frac{-b}{a}$ and the product of its roots is $\frac{c}{a}.$

Given quadratic equation, $3x^2+ 7x+ 1= 0$.

Comparing this equation with general quadratic equation $ax^2+ bx+c=\,0$,

we have  $a=3,\, b=7,\,\text{and}\,c=1$.

Therefore, the sum of roots $=$ $\frac{-7}{3}$

and the product of roots $=$  $\frac{1}{3}$.