Sagot :
Answer:
10
Step-by-step explanation:
let the smaller number be n, then the 2nd will be n + 5
then :
n
2
+
(
n
+
5
)
2
=
5
n
2
so
n
2
+
n
2
+
10
n
+
25
=
5
n
2
and
3
n
2
−
10
n
−
25
=
0
To factor :
3
×
(
−
25
)
=
−
75
(require factors of (-75) that also sum to (-10) )
These are 5 and - 15 : now rewrite equation as
# 3n^2 - 15n + 5n - 25 = 0 and factoring gives
3n(n - 5 ) + 5 (n - 5 ) = 0 so (n - 5 )(3n + 5 ) = 0
⇒
n
=
5
or
n
=
−
5
3
but n cannot be negative and hence n = 5 and n + 5 = 10