answersLogoWhite

0


Best Answer

Let the numbers be 'm' & 'n'

Hence

mn = 51 (Multiplication)

m + n = -16 (Addition)

Algebraically rearrange

m = -16 -n

Ssubstitute

(-16-n) n = 51

-16n - n^2 = 51

n^(2) + 16n + 51 = 0 ( It is now in Quadratic form to solve).

Complete the Square

(n + 8)^2 - 8^(2) = -51

(n + 8)^2 = -51 + 64 = 13

Square root both sides

n + 8 = +/-sqrt(13)

n + 8 = +/- 3.60555....

n = -13.60555.... & -4.39444.... Are the two number.

User Avatar

lenpollock

Lvl 16
3mo ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

10y ago

The factor pairs of 51 are (51,1)(17,3)

Even if you count their negative counterparts, none of them will add up to -16.

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What 2 numbers multiply to 51 but add to -16?
Write your answer...
Submit
Still have questions?
magnify glass
imp