2x^2+2根号2x^2-3x+5 =3(x+1)

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2x^2+2根号2x^2-3x+5 =3(x+1)
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2x^2+2根号2x^2-3x+5 =3(x+1)
2x^2+2根号2x^2-3x+5 =3(x+1)
 

2x^2+2根号2x^2-3x+5 =3(x+1)
2x²-3x+5+2√﹙2x²-3x+5﹚-8=0
[√﹙2x²-3x+5﹚]²+2√﹙2x²-3x+5﹚-8=0
[√﹙2x²-3x+5﹚-2][√﹙2x²-3x+5﹚+4]=0
∵√﹙2x²-3x+5﹚≥0
∴√﹙2x²-3x+5﹚+4≥4>0
∴√﹙2x²-3x+5﹚-2=0
∴2x²-3x+5=4
∴2x²-3x+1=0
∴﹙2x-1)﹙x-1﹚=0
∴x1=1/2 ,x2=1