Question

Complete the square to solve the equation below.

x2 - 10x - 2 = 17

A. x = 5 + ; x = 5 -
B. x = 5 + ; x = 5 -
C. x = 5 + ; x = 5 -
D. x = 6 + ; x = 6 -

Answer 1

Option A and B
`(x-5)^2-44=0`

Explanation:

We have given that :
`x^2 - 10x - 2 = 17`

Applying completing the square

Step 1 :
`x^2 - 10x - 2 = 17` (write the equation)

Step 2:
`x^2 - 10x = 17+2`

Step 3:
`x^2 - 10x +25 =19+25` (add 25 both side)

Step 4:
`(x-5)^2=44`

Step 5:
`(x-5)^2-44=0`

Square to solve the equation is A and B as both are same.