Answer:
The answer is 4
Step-by-step explanation:
If we let
x equal the number, then,
x 2
+
5
x
=
36
The square is indicated with ^
2
.If we add it to five times that number, or
5
⋅
x
=
5
x
, then we get x
2
+
5
x
=
36
.
This is a quadratic! We subtract 36 from both sides to get x
2
+
5
x
−
36
=
0
.
Solving it, we get
(
x
−
4
)
(
x
+
9
)
.
Remember, though! The number must be positive.
x
>
0
.
Therefore the only possible answer is
x
=
4
.
Yay!
