Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the square of a number increased by 5 times the number is equal to 176. find the number. the number is

Answer 1

Let,
The number be "x"

According to the question,

x² + 5x = 176
x² + 5x - 176 = 0
x² + 16x - 11x - 176 = 0
x (x + 16) - 11 ( x + 16) = 0
(x + 16) (x - 11) = 0

Now,
Using zero product property:

Either,
x + 16 = 0
x = -16

Or,
x - 11 = 0
x = 11

So,
The number is either "-16" or "11".