What 2 numbers have a difference of five and a product of 3.36?

Answer 1

0.6 & 5.6

Let x = one number

y = another number

Equations:

x * y = 3.36 .............. .....equation (1)

x - y = 5 .........................equation (2)

x = y + 5 ........................equation (3)

substitute eq. (3) to eq. (1)

x * y = 3.36

(y + 5) * y = 3.36

y2 + 5y = 3.36

y2 + 5y -3.36 = 0

Solving y by quadratic formula:

y = -5 √25 -4(1)(-3.36)/2

y = -5√38.44/2

y = (-5 + 6.2)/2

y = 0.6

Substitute y = 0.6 to eq. (2)

x - y = 5

x = y + 5

x = 0.6 + 5

x = 5.6

Check:

0.6 * 5.6 = 3.36