Question

Solve the following quadratic by completing the square. (Hint: It won't factor) x2-10x+5=0

Answer 1

`5+2√(5) , 5-2√(5)` Answer: 5±2
`√(5)`

Explanation:

x2 -10x=5=0

x2-10x+25=-5+25

(x-5)(x-5)=20

`(x-5)^(2) =√(20)`

`√(x-5)=√(20)`

x-5=±
`\sqrt{20`

x=5±
`\sqrt{5*4`

x=5±2
`√(5)`