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Step-by-step explanation:
From the above expression
−1≤
x
2
+x+1
≤1 and x(x+1)≥0
⇒0≤x
2
+x+1≤1andx
2
+x+1≥1
⇒x
2
+x+1=1
⇒x
2
+x=0
⇒x(x+1)=0
Hence there will be two solutions. One at x=−1 and another atx=0.
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