\(\left(1+x\right)+\left(5+x-4\right)+\left(9+x-8\right)+...=501501\)

\(\left(1+x\right)+\left(x+1\right)+\left(x+1\right)+...=501501\) có x :2 dấu ngoặc

\(\left(1+x\right).x:2=501501\)

\(\left(1+x\right).x=1003002=1002.1001\Rightarrow x=1001\)

Sai rồi

Ta có: 5 = 2 + 3

           9 = 4 + 5

           13 = 6 + 7

           17 = 8 + 9

Do: x = a + (a + 1) (a thuộc N)

Nên: 1 + 5 + 9 + 13 + 16 + ... + x = 1 + 2 + 3 + 4 + 5 + 6 + 7 + ... + a + (a + 1) = 501501

Hay (a + 1)(a + 2) = 10031002 = 1001 . 1002 => a = 1000

=> x = 1000 + (1000 + 1) + 2001

=> x = 2001

\(-4.\left(2x+9\right)-\left(-8x+3\right)-\left(x+13\right)=0\)

                      \(-8x-36+8x-3-x-13=0\)

                                                               \(-x-52=0\)

                                                                              \(x=-52\)

k mk nha

thank you very much

đề KT 1 tiết hồi chiều lp a1 của mk!

-1+3+(-5)+7+...+x=100

=2+2+...+2=100

2.50=100

Co 50 cap suy ra co 100 so

So thu 100(x) la 1+(100-1).2=......

\(|x-2|+|5-x|+10\ge|x-2+5-x|+10=3+10=13\)

2(x-4)-(x+5)=-13

2x-8-x-5     =-13

2x-x           =-13+5+8

          x     =0

1.

=3/5x(3/7+4/7)+2/5x(13/9-4/9)

=3/5x1+2/5x1

=3/5+2/5

=1

2.Xx(3/4+4/5)=7/10

Xx31/20=7/10

X         =7/10:31/20

X         =14/31

\(\frac{3}{5}\cdot\frac{3}{7}+\frac{3}{5}\cdot\frac{4}{7}+\frac{2}{5}\cdot\frac{13}{9}-\frac{2}{5}\cdot\frac{4}{9}\)

\(=\frac{3}{5}\cdot\left(\frac{3}{7}+\frac{4}{7}\right)+\frac{2}{5}\cdot\left(\frac{13}{9}-\frac{4}{9}\right)\)

\(=\frac{3}{5}\cdot1+\frac{2}{5}\cdot1\)\(=\frac{3}{5}+\frac{2}{5}=1\)

_________________________________________

\(\frac{3}{4}\cdot x+\frac{4}{5}\cdot x=\frac{7}{10}\)

\(\left(\frac{3}{4}+\frac{4}{5}\right)\cdot x=\frac{7}{10}\)

\(\frac{31}{20}\cdot x=\frac{7}{10}\)

\(x=\frac{7}{10}:\frac{31}{20}\)

\(x=\frac{14}{31}\)

tự tính nhẩm bằng 1

\(( 7x-19)-(5x-12)=3x-(9-2x)-1\)

\(<=> 7x-19-5x+12=3x-9+2x-1\)

\(<=> 2x-7=5x-10\)

\(<=> 2x-5x=-10+7\)

\(<=> -3x = -3\)

\(<=> x=3\)

a)=1/2 . 8/15 - 3/4.47/9

=4/15 - 47/12

=-73/20

b)=2-1/3 . -21/20

=2+7/20

=47/20