Question

Complete the square to transform the quadratic equation into the form (x – p)2 = q.

x2 - 6x - 8 = 6
A) (x - 6)2 = 9
B) (x - 3)2 = 23
C) (x - 6)2 = -9
D) (x - 3)2 = -23

Answer 1

its B

Explanation:

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Answer 2

Answer: The correct option is (B)
`(x-3)^2=23.`

Step-by-step explanation: We are given to complete the square and transform the following quadratic equation in the form
`(x-p)^2=q.`

`x^2-6x-8=6~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We have

`x^2-6x-8=6\\\\\Rightarrow x^2-6x=6+8\\\\\Rightarrow x^2-6x=14\\\\\Rightarrow x^2-2* x* 3+3^2=14+3^2\\\\\Rightarrow (x-3)^2=14+9\\\\\Rightarrow (x-3)^2=23.`

Thus, the required transformed form of given equation (i) is

`(x-3)^2=23,`

where p = 3 and q = 23.

Option (B) is CORRECT.