when 5 is subtracted from the square of a number, the results is 4 times the number. find the negative solution

Step-by-step explanation

5 is subtracted from the square of a number

The square of a number is x with an exponent as 2

5 is then subtracted from the x with an exponent of 2

X^2 - 5 is your answer

Answer:x=-1

Step-by-step explanation:

To find this

We assume the number is x

The square of the number=x^2

Therefore when 5 is subtracted from the number we get

x^2-5=4 * the number x

x^2-5=4x

X^2-4x-5

To factorise

x^2-5x+x-5

(x^2-5x) + (x-5)

x (x-5) + 1 (x-5) = 0

(x+1) (x-5) = 0

To find the negative solution

(x+1) = 0or (x-5) = 0

x=-1