Serafina is solving a number puzzle that involves three integers,e, f, and g, where e is negative. The product of e and f is −15. The product of e and g is 6. The product of f and g is −10. What are the values of e,f and g?

Guest Mar 6, 2021

#1**0 **

ef = -15

eg = 6

fg = -10

We can multiply everything together. :))

ef*eg*gf = 900

efg = 30 (square root both sides)

To solve for g:

efg/ef = g

30/-15 = g

g = -2.

To solve for f:

efg/eg = f

30/6 = f

f = 5

Can you solve for e?

Good luck. :)))

=^._.^=

catmg Mar 6, 2021

#2**+1 **

ef = -15 e is negative

eg = 6 g is negative too

fg = -10 f is positive

f = -15/e

g = 6/e

fg then becomes -15/e * 6/e = -10 -90/e^2 = -10

e^2 = 9 take the negative root (e is negative) = e = - 3

ef = -15 then f = 5

5 (g) = -10 g = -2

ElectricPavlov Mar 6, 2021