Question

The number of roots of the equation

2|x²-1|-|x²-x-2|=0 is​

Answer 1

Step-by-step explanation:

Answer

Open in answr app

Open_in_app

x

2

+∣x−1∣=1

If x−1≥0⇒x≥1

x

2

+x−1=1

x

2

+x−2=0

(x+2)(x−1)=0

x=−2,1

x=−2, Not possible,

So, x=1 is a solution.

If x−1<0⇒x<1

x

2

+1−x=1

x

2

−x=0

x=0,1

x=0 is also a solution

x=0,1 solutions.