One Number Is 6 More Than Another Number Their Product Is 55 What Are The Numbers?

One number is 6 more than another number their product is 55 what are the numbers?

 

Answer:

the numbers could be 5 & 11 or -5 & -11.

Step-by-step explanation:

Assume:

let x - be the number

if 55 = x(x + 6)

then x² + 6x - 55 = 0

(we just distributed x and subtracted 55 from both of side of the equation, or also known as transposition.)

we are solving this through quadratic.

the results are:

= (-6 ± 16) / 2          

= (-6 + 16) / 2           = (-6 - 16) / 2

= 10 / 2                    = -22 / 2

= 5                           = -11

if x = 5:

x + 6 = y

(5) + 6 = 11

then 2nd number is 11.

while if  = -11:

x + 6 = y

(-11) + 6 = -5

then 2nd number is -5.

these answers are all correct since it all give us a product of 55 when multiplied, which satisfies the condition given.