Answer:
The answer is 4
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!