Question

If alpha and beta are roots of equation 3x2-5x-7=0 the alpha*beta equal to

Answer 1

alpha*beta=-7/3.
since product of roots=constant/coefficent of x^2

Answer 2

Answer:

The value of $\alpha \times \beta=-\frac{7}{3}$

Step-by-step explanation:

Given : If alpha and beta are roots of equation $3x^2-5x-7=0$

To find : The value of $\alpha \times \beta$?

Solution :

If alpha and beta are roots of equation quadratic equation $ax^2+bx+c=0$ then product of roots is given by,

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

On comparing with $3x^2-5x-7=0$

a=3 ,b=-5 , c=-7

Substitute in product of roots,

$\alpha \times \beta=\frac{-7}{3}$

Therefore, The value of $\alpha \times \beta=-\frac{7}{3}$