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Question

Find the roots of equation ∣ ∣142012512x5x2∣ ∣=0.

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Solution

∣ ∣142012512x5x2∣ ∣=0

1(10x210x)4(5x25)+20(2x+2)=0

10x210x20x2+20+40x+40=0

30x2+30x+60=0

30(x2x2)=0

x2x2=0

x=1±1+82=1+32

x=2 and x=1

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