Question

What is the solution set for the open sentence with the given replacement set?

x^2 + 12 =8x {2,4,5,8}
a 2
b 4
c 5
d 8

Answer 1

x^2 - 8x + 12 = 0

(x - 6)(x - 2) = 0

x = 6,2

Answer is a. 2

Answer 2

a. 2

Explanation:

Given equation,

`x^2 + 12 =8x`

Subtract 8x on both sides,

`x^2 - 8x + 12 =0`

By middle term splitting,

`x^2 - (6+2)x + 12 =0`

`x^2 - 6x-2x + 12 =0`

`x(x - 6)-2(x -6) =0`

`(x-2)(x-6)=0`

By Zero product property,

x - 2 = 0 or x - 6 = 0

x = 2 or x = 6

Hence, the correct option is 'a'