75 nhé bạn

TL :

   ( 15 x 15 ) : 2 x ( 15 x 15 ) : 2 x ( 15 x 15 ) : 2 + ( 0 + 1 + 2 + 2 + 3 + 45 ) x 0

= 0

=> vì : tất cả số nào nhân vs 0 đều = 0

_HT_

1423828.125 

        - ht -

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\(=\dfrac{4}{15}x\left(13+4-2\right)=\dfrac{4x15}{15}=4\)

`13xx4/5+4xx4/15-2xx4/15`

`=4/15xx(13+4-2)`

`=4/15xx15`

`=4`

\(13\times\dfrac{4}{15}+4\times\dfrac{4}{15}-2\times\dfrac{4}{15}\)
\(=\left(13+4-2\right)\times\dfrac{4}{15}\)
\(=15\times\dfrac{4}{15}\)
\(=4\)

Áp dụng bất đẳng thức AM - GM:

\(\sqrt{\left(x^2-15\right)\left(x-3\right)}\le\dfrac{x^2-15+x-3}{2}=\dfrac{x^2+x-18}{2};\sqrt{x^2-15}\le\dfrac{x^2-15+1}{2}=\dfrac{x^2-14}{2};\sqrt{x-3}\le\dfrac{x-3+1}{2}=\dfrac{x-2}{2}\).

Do đó \(F\ge x^2+x-\dfrac{x^2+x-18}{2}-\dfrac{x^2-14}{2}-\dfrac{x-2}{2}-38=-21\).

Đẳng thức xảy ra khi x = 4.

Vậy...

`@` `\text {Ans}`

`\downarrow`

`a)`

`x + 10 = 20`

`=> x = 20 -10`

`=> x = 10`

Vậy, `x = 10`

`b)`

`2 * x + 15 = 35`

`=> 2x = 35 - 15`

`=> 2x = 20`

`=> x = 20 \div 2`

`=> x = 10`

Vậy, `x = 10`

`c)`

`3 * ( x + 2 ) = 15`

`=> x + 2 = 15 \div 3`

`=> x + 2 = 5`

`=> x = 5 - 2`

`=> x = 3`

Vậy, `x = 3`

`d)`

`10 * x + 15 * 11 = 20 * 10`

`=> 10x + 165 = 200`

`=> 10x = 200 - 165`

`=> 10x = 35`

`=> x = 35 \div 10`

`=> x = 3,5`

Vậy,` x = 3,5`

`e)`

`4 * ( x + 2 ) = 3 * 4`

`=> x + 2 = 12 \div 4`

`=> x + 2 = 3`

`=> x = 3 - 2`

`=> x = 1`

Vậy,` x = 1`

`f)`

`33 x + 135 = 26 * 9`

`=> 33x + 135 = 234`

`=> 33x = 234 - 135`

`=> 33x = 99`

`=> x = 99 \div 33`

`=> x = 3`

Vậy, `x = 3`

`g)`

`2 * x + 15 + 16 + 17 = 100`

`=> 2x + 48 = 100`

`=> 2x = 100 - 48`

`=> 2x = 52`

`=> x = 52 \div 2`

`=> x =26`

`h)`

`2 * (x + 9 + 10 + 11) = 4 . 12 . 25`

`=> 2 * (x + 9 + 10 + 11) = 4*25*12`

`=> 2 * (x + 9 + 10 + 11) = 100*12`

`=> x + 9 + 10 + 11 = 100*12 \div 2`

`=> x + 30 = 600`

`=> x = 600 - 30`

`=> x = 570`

Vậy, `x = 570.`

a) \(x+10=20\Leftrightarrow x=10\)

b) \(2x+15=35\Leftrightarrow2x=20\Leftrightarrow x=10\)

c) \(3.\left(x+2\right)=15\Leftrightarrow x+2=5\Leftrightarrow x=3\)

d) \(10x+15.11=20.10\Leftrightarrow10x+165=200\Leftrightarrow10x=35\Leftrightarrow x=\dfrac{35}{10}=\dfrac{7}{2}\)

e) \(4.\left(x+2\right)=3.4\Leftrightarrow x+2=3\Leftrightarrow x=1\)

f) \(35x+135=26.9\Leftrightarrow35x=234-135\Leftrightarrow35x=99\Leftrightarrow x=\dfrac{99}{35}\)

g) \(2x+15+16+17=100\Leftrightarrow2x+48=100\Leftrightarrow2x=52\Leftrightarrow x=26\)

h) \(2.\left(x+9+10+11\right)=4.12.25\)

\(\Leftrightarrow x+30=2.12.25\)

\(\Leftrightarrow x=600-30\)

\(\Leftrightarrow x=570\)

bạn có thể check lại đề bài câu a được không ạ

là x^2 = x^5 á bạn

\(-4+x=-4+7\)

\(\Rightarrow x=-4+7+4\)

\(\Rightarrow x=7\)

\(\left(-3\right)-\left(-5-x\right)=-15+\left(-6+15\right)\)

\(\Rightarrow x=-15-6+15+3-5\)

\(\Rightarrow x=-8\)

\(-\left(x+2\right)+2=\left(8-15\right)+15\)

\(\Rightarrow-x+2+2=-7+15\)

\(\Rightarrow-x=-7+15-2-2\)

\(\Rightarrow x=-4\)

\(4+\left(x-4\right)=-\left(11-2\right)+\left(11+4\right)\)

\(\Rightarrow4+x-4=-11+2+11+4\)

\(\Rightarrow x=-11+2+11+4-4+4\)

\(\Rightarrow x=6\)

a) -4 + x = -4 + 7            b) (-3) - (-5-x) = -15 + (-6+15)

   -4 + x + 4 - 7 = 0            (-3) + 5 + x = -6

        x - 7 = 0                     2 + 6 = -x

        x= 7                            8 = -x 

 Vậy x= 7                            x= -8   =) Vậy x= -8

c) -(x+2)+2=(8-15)+15          d) 4+(x-4)= -(11-2) + (11+4 )

   -x - 2 + 2 = 8                       4+x-4 = 6

   -x = 8                                     x=6

    x= -8                              Vậy x=6

Vậy x= -8

N=(-15+1)x..........x(-15+15)x..........x(-15+100)=0

a: =10000+1025=11025

b: =15x(2+3+5)=150

\(a,\left(3416+6584\right)+1025=11025\\ b,15\times\left(2+3+5\right)=150\)

a)

 3416 +1025 + 6584 =( 3416+6584)+1025

                                = 10000+1025

                                =11025

b) 15 x 2 + 15 x 3 + 15 x 5 = 15.(2+3+5)

                                            =   15. 10

                                         =150

\(a,3416+1025+6584\\ =\left(3416+6584\right)+1025\\ =10000+1025\\ =11025\\ b,15\times2+15\times3+15\times5\\ =15\times\left(2+3+5\right)\\ =15\times10\\ =150\)

a,3416+1025+6584=(3416+6584)+1025=10000+1025=11025b,15×2+15×3+15×5=15×(2+3+5)=15×10=150

a)3416+1025+6584

=(3416+6584)+1025

=10 000+1025

=11 025