Question

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

Answer 1

The solution set is x={2,-12}

Explanation:

Answer 2

The solution set is x={2,-12}

Explanation:

Given:
`x^2+10x=24`

Using complete square to solve for x

`x^2+10x=24`

Add both side square of half of coefficient of x ( i,e 25)

`x^2+10x+25=24+25`

`(x+5)^2=49`
`\because a^2+2ab+b^2=(a+b)^2`

Taking square root both sides

`√((x+5)^2)=\pm √(49)`

`x+5=\pm7`

`x=-5\pm7`

`x=-5+7` and
`x=-5-7`

`x=2,-12`

Hence, The solution set is x={2,-12}