Question

How do I complete a square

Eg solve the equation x(squared) + 4x - 7 = 0
By completing the square

Answer 1

Explanation:

`{x}^(2) + 4x - 7 = 0`

Take -7 to the other side making it +7

Half the coefficient of x and square it

`(1)/(2) * 4 = 2`

Square the answer

`{2}^(2) = 4`

Join your answers

[

`(x + 2) - 4 = 7`

Take -4 to the other side making it +4

`(x + 2) = 7 + 4 \\ </p><p>(x + 2) = 11</p><p>`

Square root both sides

`√(x + 2)= √(11)`

`x + 2 = √(11)`

Take +2 to the other side

`x = - 2 \ + or - √(11)`

`x = - 2 + √(11)`

or

`x = - 2 - √(11)`

This can be your answering surd form if required or in decimals