The difference of the square of a number and 4 is equal to 3 times that number. Find the negative solution.

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 = 4

The negative solution is x = –1.

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation: