Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−8,x2=12
Evaluate
∣∣x−2∣−4∣=6
Separate the equation into 2 possible cases
∣x−2∣−4=6∣x−2∣−4=−6
Solve the equation for x
More Steps
Evaluate
∣x−2∣−4=6
Move the constant to the right-hand side and change its sign
∣x−2∣=6+4
Add the numbers
∣x−2∣=10
Separate the equation into 2 possible cases
x−2=10x−2=−10
Solve the equation for x
More Steps
Evaluate
x−2=10
Move the constant to the right-hand side and change its sign
x=10+2
Add the numbers
x=12
x=12x−2=−10
Solve the equation for x
More Steps
Evaluate
x−2=−10
Move the constant to the right-hand side and change its sign
x=−10+2
Add the numbers
x=−8
x=12x=−8
x=12x=−8∣x−2∣−4=−6
Solve the equation for x
More Steps
Evaluate
∣x−2∣−4=−6
Move the constant to the right-hand side and change its sign
∣x−2∣=−6+4
Add the numbers
∣x−2∣=−2
Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of x
x∈/R
x=12x=−8x∈/R
Find the union
x=12x=−8
Solution
x1=−8,x2=12
Show Solution
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