Question

Bài 3: Tìm y, biết:

 a) (y-2)³-(y-3)(y²+3y+9)+6(y+1)²=49

b) (y+3)³-(y+1)³=56

giúp mình với ,cầnnnnnnnnnnnnn gấpppppppppppppp

Answer 1

\(a,\Leftrightarrow y^3-6y^2+12y-8-y^3+27+6y^2+12y+6=49\\ \Leftrightarrow24y=24\Leftrightarrow y=1\\ b,\Leftrightarrow y^3+9y^2+27y+27-y^3-3y^2-3y-1=56\\ \Leftrightarrow6y^2+24y-30=0\\ \Leftrightarrow y^2+4y-5=0\\ \Leftrightarrow\left(y-1\right)\left(y+5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}y=1\\y=-5\end{matrix}\right.\)

Answer 2

a) \(\Leftrightarrow y^3-6y^2+12y-8-y^3+27+6y^2+12y+6=49\)

\(\Leftrightarrow24y=24\Leftrightarrow y=1\)

b) \(\Leftrightarrow y^3+9y^2+27y+27-y^3-3y^2-3y-1=56\)

\(\Leftrightarrow6y^2+24y-30=0\)

\(\Leftrightarrow6\left(y-1\right)\left(y+5\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}y=1\\y=-5\end{matrix}\right.\)

Answer 3

a) (y-2)³-(y-3)(y²+3y+9)+6(y+1)²=49
    \(y^3-6y^2+12y-8-y^3+27+6\left(y^2+2y+1\right)=49\)
    \(-6y^2+12y+25+6y^2+12y+6=49\)
     \(24y+31=49\)
     24y=18
         y=0,75