Question

the square of a number increased by 5 times the number is equal to 176. find one number for which this could be true

Answer 1

(The square root of a number)
Increased by 5 times the number
Is 176
Therefore
N^2+N(5)
=176 N=-16

Answer 2

Answer:

11 or -16

Step-by-step explanation:

The square of a number increased by 5 times the number is equal to 176.

Let the number be x

Then, x²+5x=176

x²+5x-176=0

We use splitting the middle term method

x²+16x-11x-176=0

x(x+16)-11(x+16)=0

(x-11)(x+16)=0

i.e. either x-11=0 or x+16=0

i.e. either x=11 or x=-16

Hence, the number is either 11 or -16