(2x-1).√10-4x²=5-2x
→ (2x-1)².(10-4x²)=25-20x+4x²
→(4x²-4x+1).(10-4x²)=25-20x+4x²
→40x²-$16x^{4}$-40x+16x³+10-4x²=25-20x+4x²
→36x²-$16x^{4}$ -40x+16x³+10=25-20x+4x²
→36x²-$16x^{4}$ -40x+16x³+10-25+20x-4x² = 0
→32x²-$16x^{4}$ -20x+16x³-15=0
→$-16x^{4}$ -8x³+24x³+12x²+20x²+10x-30x-15=0
→-8x³(2x+1)+12x²(2x+1)+10x(2x+1)-15(2x+1)=0
→-(2x+1)[4x²(2x-3)-5(2x-3)]=0
→-(2x+1)(2x-3)(4x²-5)=0
→(2x+1)(2x-3)(4x²-5)=0
2x+1=0 ⇒ x=-$\frac{1}{2}$
2x-3=0 ⇒ x=$\frac{3}{2}$
4x²-5+0 ⇒ x=-$\frac{√5}{2}$ , x=$\frac{5}{2}$
@giahanchau
