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?
+2401 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. :)))
=^._.^=
+36916 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
