The product of the roots of $2x^2 - 7x + n = 0$ is $-5.$ find $n.$

The value of N for given conditions is -10. It can be calculated as shown below.

The quadratic equation given is:  

The product of roots of given equation is: -5

To find: Value of N

For quadratic equation , we have:

For given quadratic equation, we have:

a = 2, b = -7, c = N

Thus, by above formula:

Thus, value of N for given conditions is -10.

Learn more  about roots of quadratic equations here:

link

By the fundamental theorem of algebra, we can factorize the quadratic as

so that expanding the right hand side gives

We're told that the product of the roots is -5, or , so we get

2.56 is the width of the garden

step-by-step explanation: