Question

Three students used factoring to solve a quadratic equation.

Jordan's Solution Keith's Solution Randall's Solution









The equation was solved correctly by . The solutions of the equation are .

Answer 1

The first box is Keith and the second box is -5,-12

Explanation:

Answer 2

The solution was solved correctly by Keith

The solutions of the equation are x=-5,x=-12

Explanation:

we have

`x^(2)+17x+72=12`

Group terms that contain the same variable, and move the constant to the opposite side of the equation

`x^(2)+17x=12-72`

`x^(2)+17x=-60`

Complete the square. Remember to balance the equation by adding the same constants to each side.

`x^(2)+17x+8.5^(2) =-60+8.5^(2)`

`x^(2)+17x+72.25 =12.25`

Rewrite as perfect squares

`(x+8.5)^(2)=12.25`

square root both sides

`(x+8.5)=(+/-)3.5`

`x=-8.5(+/-)3.5`

`x=-8.5(+)3.5=-5`

`x=-8.5(-)3.5=-12`

The solution was solved correctly by Keith

The solutions of the equation are x=-5,x=-12