What multiplies to 4 and adds to 3?

Answer 1

x + y = 3

x * y = 4

Step 1: Put equation 1 into y = mx+b form

y = 3-x

Step 2: Substitute for y in the second equation

x*(3-x) = 4

Step 3: Multiply out

3x - x2 = 4

Step 4: Get the equation into quadratic form

-x2 + 3x - 4

x2 -3x + 4

Step 5: Plug into quadratic formula

x = (-(-3) +/- √(-3)2-4(1)(4))/ 2

x = (3 +/- √-7)/2

= (3+ i√7)/2 and (3- i√7)/2

There is no real number solutions for two numbers which multiply to 4 and add to 3 because i is present.

Answer 2

(1/2)(3 - i root(7)), and (1/2)(3 + i root(7))

Answer 3

Nothing in the reals