Question
Find the roots
x1=−98,x2=910
Alternative Form
x1=−0.8˙,x2=1.1˙
Evaluate
∣1−9x∣−9
To find the roots of the expression,set the expression equal to 0
∣1−9x∣−9=0
Move the constant to the right-hand side and change its sign
∣1−9x∣=0+9
Removing 0 doesn't change the value,so remove it from the expression
∣1−9x∣=9
Separate the equation into 2 possible cases
1−9x=91−9x=−9
Solve the equation for x
More Steps

Evaluate
1−9x=9
Move the constant to the right-hand side and change its sign
−9x=9−1
Subtract the numbers
−9x=8
Change the signs on both sides of the equation
9x=−8
Divide both sides
99x=9−8
Divide the numbers
x=9−8
Use b−a=−ba=−ba to rewrite the fraction
x=−98
x=−981−9x=−9
Solve the equation for x
More Steps

Evaluate
1−9x=−9
Move the constant to the right-hand side and change its sign
−9x=−9−1
Subtract the numbers
−9x=−10
Change the signs on both sides of the equation
9x=10
Divide both sides
99x=910
Divide the numbers
x=910
x=−98x=910
Solution
x1=−98,x2=910
Alternative Form
x1=−0.8˙,x2=1.1˙
Show Solution
