Question

Brian correctly use a method of completing the square to solve the equation X a 2nd plus 7X -11 equals zero Brian‘s first step was to rewrite the equation as extra 2nd+ 7X equals 11 he then added a number to both sides of the equation which number do you add

Answer 1

`((7)/(2))^(2)`

Explanation:

Brain correctly use a method of completing the square to solve the equation:

`x^2+7x-11=0`

His First Step is to: Take the Constant Term to the Right Hand Side

`x^2+7x=11`

The Next Step Would be to:

• Divide the Coefficient of x by 2
• Square It
• Add it to both Sides

In this case, the Coefficient of x = 7

• Divided by 2 =
  `(7)/(2)`

• Squaring It, we have:
  `((7)/(2))^(2)`

It is this number
`((7)/(2))^(2)` that is added to both sides in the manner below:

`x^2+7x+((7)/(2))^(2)=11+((7)/(2))^(2)`