For this case, the first thing we must do is define variables.
We have then:
x: unknown number.
We now write the equation that models the problem:
The square of a number increased by 5 times the number is equal to 176:
[tex]x ^ 2 + 5x = 176
[/tex]
From here, we solve the polynomial of the second degree.
[tex]x ^ 2 + 5x - 176 = 0
[/tex]
Which solutions are:
[tex]x1 = -16
x2 = 11[/tex]
Answer:
The numbers for which it is possible are:
x1 = -16
x2 = 11
