Question

The problem is in the picture ​

Answer 1

x = 3 or 7

Explanation:

Solve by completing the square:

`x^2 - 10x + 1 = -20`

First, move the constants to one side:

`x^2 - 10x = -21`

Then, add
`((-10)/(2))^2` to both sides to make the right a perfect square trinomial, which is easy to factor:

`x^2 - 10x + ((-10)/(2))^2 = -21 + ((-10)/(2))^2`

Simplify and Factor:

`x^2 - 10x + 25 = -21 + 25`

`(x - 5)^2 = 4`

Finally, square root both sides using the even roots property:

`√((x - 5)^2) = √(4)`

x - 5 = ± 2

x = 5 ± 2

x = 3 or x = 7