Question

Solve x- 8x = 20 by completing the square. Which is the solution set of the equation?

O {-22, 14}
O {-14, 22}
O {–10,2}
O {-2, 103

Answer 1

The right question is

`x ^(2) -8x=20`

now multiply 1/2 by the coefficient of x which is 8

`(1)/(2) * 8=4`

now add square of 4 on both side of equation we will get

`{x}^(2) -8x+ {4}^(2) =20+ {4}^(2)`

`(x-4)^2=20+16`

`(x-4)^2=36`

taking square root on both sides

we get

`(x-4)=-+6`

`x-4=6, x-4=-6`

`x=6+4 , x=-6+4`

`x=10,-2`

so third option is correct

if u find any confusion u can ask me

i hope you will understand it

Thank u