# pre-calc

posted by .

The sum of two numbers is radical 3. Find the largest possible value for their product

• pre-calc -

Wondering if the numbers have to be real?

Assuming they can be complex.

M=10000000i+sqrt3
N=-10000000i

the sum of M+N=sqrt3
MN=10^7m and if course no limit on that, so no limit on the product.

Now if M,N are restricted to the real domain.

let V=MN=(sqrt3-N)N
dV/dN=sqrt3-2N setting equal to zero to maximize, then N= .5 sqrt3
and M= N, same value, so MN=3/4

## Similar Questions

1. ### math-word problems with quadratics

I have 5 questions... 1) The sum of two numbers is 12. Their product is 36. Find the two numbers. 2) The sum of two numbers is -15. Their product is -100. Find the two numbers. 3) The sum of two numbers is -8. Their product is 12. …
2. ### Math

The product of 1000 whole numbers is 1000. What is the largest possible value the sum of these numbers can have?
3. ### math

The sum of two numbers is 16 . What is the largest possible product between these numbers
4. ### pre calc

use an appropriate half-angle formula to find the exact value ofthe expression. tan22.5 write the product as a sum sinxsin5x write the sum as a product sin2x-sin7x
5. ### pre-calc

The sum of two numbers is radical 3. Find the largest possible value for their product
6. ### pre-calc

The sum of two numbers is radical 3. Find the largest possible value for their product
7. ### math

the product of 1000 whole number is 1000, what is the largest possible value the sum of these numbers can have
8. ### Pre calc aesthetic quadratic stuff

two numbbers have sum of 9 and product of 20. What singlevariable quadratic equation in form of ax^2+bx+c=0 can be used to represent the product of the two numbers