( 4x - 16 ) * 4 +12 = 28
Hỏi x bằng bao nhiêu
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Có : \(P=4x+\dfrac{16}{x^2}=2x+2x+\dfrac{16}{x^2}\)
- AD AMGM : \(2x+2x+\dfrac{16}{x^2}\ge3\sqrt[3]{\dfrac{2x.2x.16}{x^2}}=12\)
- Dấu " = " xảy ra \(\Leftrightarrow2x=\dfrac{16}{x^2}\)
\(\Leftrightarrow2x^3=16\)
\(\Leftrightarrow x=2\) ( TM )
Vậy ....
( Chắc đề như vầy :vvv )
ĐKXĐ: -16/3<=x<=4
\(\)\(x^2-4x+12=4\sqrt{4-x}+\sqrt{3x+16}\)
=>\(x^2-4x+12-\left(-x+12\right)=4\sqrt{4-x}-\left(-\frac43x+8\right)+\sqrt{3x+16}-\left(\frac13x+4\right)\)
=>\(x^2-3x=\frac43\left\lbrack3\sqrt{4-x}-\left(6-x\right)\right\rbrack+\frac13\left\lbrack3\cdot\sqrt{3x+16}-\left(x+12\right)\right\rbrack\)
=>\(x^2-3x=\frac43\cdot\frac{9\left(4-x\right)-\left(6-x\right)^2}{3\sqrt{4-x}+\left(6-x\right)}+\frac13\cdot\frac{9\left(3x+16\right)-\left(x+12\right)^2}{3\sqrt{3x+16}+\left(x+12\right)}\)
=>\(x^2-3x=\frac43\cdot\frac{36-9x-x^2+12x-36}{3\sqrt{4-x}+\left(6-x\right)}+\frac13\cdot\frac{27x+144-x^2-24x-144}{3\sqrt{3x+16}+\left(x+12\right)}\)
=>\(\left(x^2-3x\right)\left(1+\frac43\cdot\frac{1}{3\sqrt{4-x}+6-x}+\frac{1}{3\left(3\sqrt{3x+16}+x+12\right)}\right)=0\)
=>\(x^2-3x=0\)
=>x(x-3)=0
=>x=0(nhận) hoặc x=3(nhận)
Ta có :
15 = 3.5
20 = 4.5
25 = 5.5
30 = 5.6
35= 5.7
40 = 5.8
45 = 5.9
50 = 5.5.2
Vậy tích trên có tận cùng là 10c/s 0
a: =>x+50=9/4
hay x=-47,75
b: =>4x-16=(4000+12)x2=8024
=>4x=8040
hay x=2010
a) \(\left(x+50\right):4=3^2\)
\(x+50:4=9\)
\(x+50=4.9\)
\(x+50=36\)
\(x=36-50\)
\(x=-14\)
b) \(\left(4x-16\right):2-\left(-12\right)=4000\)
\(4x-16:2-12.2=4000\)
\(4x-16:2-24=4000\)
\(4x-\left(16+24\right);2=4000\)
\(4x-30:2=4000\)
\(4x-30=4000.2\)
\(4x-30=8000\)
a) x 2 – x – 12 b) x 3 – 64.
c) m 3 n 3 – m 2 n + 5 mn 2 – 5 d) 16 x 4 – 1.
giải
a) (x+3)(x-4)=\(x^2\) -4x+3x-12
=\(x^2\) +(-4x+3x)-12
=\(x^2\) -x-12
b) (x-4)(\(x^2\) +4x+16)=\(x^3\) +\(4x^2\) +16x-\(4x^2\) -16x-64
=\(x^3\) +(\(4x^2\) -\(4x^2\) )+(16x-16x)-64
=\(x^3\) -64
\(\Leftrightarrow\sqrt{x-4}\left(4-12\cdot\dfrac{1}{2}+2\cdot2\right)=6\)
=>x-4=9
hay x=13
Ta có:\(\left(4x-16\right).4+12=28\)
\(\Rightarrow\left(4x-16\right).4=28-12=16\)
\(\Rightarrow4x-16=16:4=4\)
\(\Rightarrow4x=4+16=20\)
\(\Rightarrow x=20:4=5\)
\(\left(4x-16\right)\cdot4+12=28\)
\(\left(4x-16\right)\cdot4=28-12\)
\(\left(4x-16\right)\cdot4=16\)
\(4x-16=16\div4\)
\(4x-16=4\)
\(4x=4+16\)
\(4x=20\)
\(\Rightarrow x=5\)