Question

Johan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. Which explains whether his solutions are correct?

Answer 1

Answer:

we have two solution x = 5 and x = 11

but in given problem x = 5 and x = –11

thus, only one of his solution x = 5 is correct

Step-by-step explanation:

Given

–2|8 – x| – 6 = –12

adding 6 both sides

–2|8 – x| – 6 +6= –12 +6

–2|8 – x|  = –6

dividing both side by -2

–2|8 – x| /-2 = –6/-2

=>|8 – x|  = 3

we know that

in modulus function |Y| = -y or y

Thus

|8 – x|  = 3

can be written as

8-x = 3   or          8- x = -3

8-x-3 = 0  or      8-x+3 = 0

5-x = 0     or      11 -x = 0

x = 5       or x = 11

thus, we have two solution x = 5 and x = 11

but in given problem x = 5 and x = –11

thus, only one of his solution x = 5 is correct