Tìm x: $4x(2x^{2}$$-1)+27=$ $(4x^{2}$$+6x+9)(2x+3)$ Question Tìm x: $4x(2x^{2}$$-1)+27=$ $(4x^{2}$$+6x+9)(2x+3)$ in progress 0 Môn Toán Calantha 5 years 2020-10-29T00:50:46+00:00 2020-10-29T00:50:46+00:00 2 Answers 88 views 0
Answers ( )
`4x(2x^2-1)+27=(4x^2+6x+9)(2x+3)`
`=>8x^3-4x+27=8x^3+12x^2+12x^2+18x+18x+27`
`=>(8x^3-8x^3)+(27-27)=24x^2+40x`
`=>x(24x+40)=0`
`=>`\(\left[ \begin{array}{l}x=0\\24x=40\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x=0\\x=5/3\end{array} \right.\)
Đáp án:
Giải thích các bước giải:
4x(2x²-1)+27=(4x²+6x+9)(2x+3)
8x³-4x+27=8x³+12x²+12x²+18x+18x+27
(8x³-8x³)+(-12x²-12x²)+(-4x-18x-18x)=27-27
-24x²-40x=0
-(24x²+40x)=0
x(24x+40)=0
=>x=0
hoặc 24x +40=0
=> x=5/3
=> x∈{0;5/3}