Question

Find the term that must be added to the equation x^2+6x=1 to make it into a perfect square.

Answer 1

The given equation is:

`x^2+6x=1`

To complete the square, find the coefficient of x,

The coefficient of x is +6x,

Half the coefficient of x is:

`(1)/(2)*(+6)=+3`

Therefore, to make it a perfect square calculate add the square of 3 to both sides of the equation.

The square of 3 is:

`3^2=9`

Therefore, the term that must be added is 9.

Therefore, the correct answer is choice C:

9