\(\text{4x4+7x3+8x2-28x+48}\ge0\)
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a: Ta có: \(x\left(2-x\right)+\left(x^2+x\right)=7\)
\(\Leftrightarrow2x-x^2+x^2+x=7\)
\(\Leftrightarrow3x=7\)
hay \(x=\dfrac{7}{3}\)
b: Ta có: \(\left(2x+1\right)^2-x\left(4-5x\right)=17\)
\(\Leftrightarrow4x^2+4x+1-4x+5x^2=17\)
\(\Leftrightarrow9x^2=16\)
\(\Leftrightarrow x^2=\dfrac{16}{9}\)
hay \(x\in\left\{\dfrac{4}{3};-\dfrac{4}{3}\right\}\)
Chọn B
Ta có: B(x) = 6x4 - 7x3 + 6x2- 7x3 + 4x4 + 3 - 5x + 2x
= 10x4 - 14x3 + 6x2 - 3x + 3.
a: M(x)=A(x)+B(x)
=4x^4-7x^3+6x^2-5x-6-4x^4+7x^3-5x^2+5x+4
=x^2-2
b: C(x)=A(x)-B(x)
=4x^4-7x^3+6x^2-5x-6+4x^4-7x^3+5x^2-5x-4
=8x^4-14x^3+11x^2-10x-10
c: M(1)=1^2-2=-1
C(1)=8-14+11-10-10=5-20=-15
`a,`
\(M\left(x\right)=A\left(x\right)+B\left(x\right)=\left(4x^4+6x^2-7x^3-5x-6\right)+\)`(-5x^2+7x^3+5x+4-4x^4)`
`M(x)=4x^4+6x^2-7x^3-5x-6-5x^2+7x^3+5x+4-4x^4`
`=(4x^4-4x^4)+(-7x^3+7x^3)+(6x^2-5x^2)+(-5x+5x)+(-6+4)`
`=x^2-2`
`b,`
`A(x)=B(x)+C(x)`
`-> C(x)=A(x)-B(x)`
`-> C(x)=(4x^4 + 6x^2 - 7x^3 - 5x - 6)-(-5x^2+7x^3+5x+4-4x^4)`
`C(x)=4x^4 + 6x^2 - 7x^3 - 5x - 6+5x^2-7x^3-5x-4+4x^4`
`= (4x^4+4x^4)+(-7x^3-7x^3)+(6x^2+5x^2)+(-5x-5x)+(-6-4)`
`= 8x^4-14x^3+11x^2-10x-10`
`c,`
`M(1)=1^2-2=1-2=-1`
`C(1)=8*1^4-14*1^3+11*1^2-10*1-10`
`=8-14+11-10-10=-6+11-10-10=5-10-10=-5-10=-15`