Question

Find the product of roots of a quadratic equation 2 x +7X-4= 0​

Answer 1

Answer:

product of roots= -2

Step-by-step explanation:

First of all equation should be like that

$2x^2+7x-4=0$

if $\alpha \: and \beta\:$ are the roots of Quadratic equation,then use the relation between coefficient of equation,as shown below

product of roots is

$\alpha \beta = \frac{ c}{a} \\ \\ \alpha \beta = \frac{ - 4}{2} \\ \\ = - 2$

Hope it helps you.

Answer 2

SOLUTION

We have the equation as 2x^2 +7x-4=0

We use factorization method to find out the roota here

$= > {2x}^{2} + 7x - 4 = 0 \\ = > 2 {x}^{2} + 8x - 1x - 4 = 0 \\ = > 2x(x + 4) - 1(x + 4) = 0 \\ = > (x + 4) \: \: (2x - 1) = 0 \\ = > x = - 4 \: \: or \: \: x = \frac{1}{2}$

So the product is,

$= > \frac{1}{2} \times - 4 \\ \\ = > \frac{ - 4}{2} = - 2$

hope it helps ☺️