Question

Solve x2 − 12x + 5 = 0 using the completing-the-square method. x = six plus or minus the square root of five x = negative six plus or minus the square root of five x = six plus or minus the square root of thirty one x = negative six plus or minus the square root of thirty one

Answer 1

Answer:
`X= 6 -√(31)`

Step-by-step explanation: I took the test on flvs

Answer 2

we are given

`x^2-12x+5=0`

we have to solve it by completing square method

step-1: Move 5 on right side

`x^2-12x+5-5=0-5`

`x^2-12x=-5`

step-2: Break middle term

`x^2-2*6*x=-5`

step-3: Add 6^2 both sides

`x^2-2*6*x+(6)^2=-5+(6)^2`

`(x-6)^2=31`

step-3: Solve for x

`√((x-6)^2) =√(31)`

we wil get two values

First value is

`x-6=√(31)`

add both sides 6

`x-6+6=6+√(31)`

`x=6+√(31)`

Second value is

`x-6=-√(31)`

add both sides 6

`x-6+6=6-√(31)`

`x=6-√(31)`

so, solutions are

`x=6+√(31)`

`x=6-√(31)`.............Answer