Question

Solve for x: −3|x − 3| = −6

Answer 1

|x - 3| = -6/-3
Two negatives = a positive so make it |x - 3| = -6/-3
|x - 3| = 2
In order to find the answers we need to break it down into these two problems
x - 3 = 2 and -(x - 3) = 2
For the first one its 5 since 5 - 3 = 2 and 2 + 3 = 5
For the second one its 1
Now we're done lets just collect both answers

Answers: x = 1, 5

                                                   OR

remember, for |a|=b, assume and solve a=b and a=-b

so

first get into |a|=b form

-3|x-3|=-6
divide both sides by -3
|x-3|=2
so solve
x-3=2 and x-3=-2
add 3 to both sides
x=5 and x=1

the solutionsa re x=1 and 5

-Ekansh Nimbalkar ^_^

Good luck for your assignment and have a nice day

Answer 2

hello users .....

we have to solve

−3|x − 3| = −6 and find the value of x=

solution:-
=> |x − 3| = −6 /-3
=> |x − 3| = 2

we know that
|x| = x ,-x

(because mod give two values one is +ve and another -ve )

here
(x-3) = 2 and -(x-3) = 2

for (x-3) = 2
=>x= 2+3 = 5

for
-(x-3) = 2
,=> x-3 = -2
=> x= -2+3 = 1

hence
x= 1 ,5 answer

✡✡ hope it helps✡✡