The difference of the square of a number and 4 is equal to 3 times that number. Find the negative solution. Question The difference of the square of a number and 4 is equal to 3 times that number. Find the negative solution. in progress 0 Math Camila 2 weeks 2021-09-27T09:45:31+00:00 2021-09-27T09:45:31+00:00 1 Answer 0

## Answers ( )

The negative solution is x = –1.

Solution:Let the number be x.

Square of a number = x²

3 times a number = 3x

Difference of square of a number and 4 = 3 times that number

Subtract 3x from both sides of the equation, we get

–3x can be written as x – 4x.

1st bracket have common term x and bracket have –4 common term.

Take common term x + 1 outside.

By zero factor principle, if AB = 0 then A = 0 or B = 0.x + 1 = 0, x – 4 = 0

x = –1,x = 4The negative solution is x = –1.