What are two numbers that multiplied together equal -1344 and added equal 43?

Answer 1

Let the number 'm' & 'n'

Hence #

Multiplication

mn = - 1344

Added

m + n = 43

We have two unknowns , So we eliminate one of them . Hence

mn = -1344

m = 43 - n

Substitute

(43 - n) n = -1344

43n - n^(2) = -1344

n^(2) - 43n - 1344 = 0

We now have quadratic eq;n to solve

Hence

n = { --43 +/- sqrt[(-43)^(2) - 4(1)(-1344)]} / 2(1)

n = { 43 +-/ sqrt[ 1849 + 5376]} / 2

n = { 43 +/-sqrt[ 7225] } / 2

n = { 43 +/- 85}/2

n = 128/2 = 64

&

n = - 42/2 = -21

Verification

64 X -21 = -1344

64 - 21 = 43

So the two numbers are '-21' & '64'.

Answer 2

The two numbers you are looking for are 48 and -28. When multiplied together, 48 × -28 equals -1344, and when added, 48 + (-28) equals 20.