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\(\dfrac{4}{3.5}+\dfrac{8}{5.9}+\dfrac{12}{9.15}+...+\dfrac{32}{x\left(x+16\right)}=\dfrac{16}{15}\)
\(2.\left(\dfrac{2}{3.5}+\dfrac{4}{5.9}+\dfrac{6}{9.15}+..+\dfrac{16}{X.\left(X+16\right)}\right)=\dfrac{16}{15}\)
\(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{15}+...+\dfrac{1}{X}-\dfrac{1}{X+16}=\dfrac{8}{15}\)
\(\dfrac{1}{X+16}=\dfrac{1}{3}-\dfrac{8}{15}\)
\(\dfrac{1}{X+16}=\dfrac{-1}{5}\)
\(X+16=-5\)
\(X=-21\)
Bài 1
a) 15 + 4.12 - 3²
=15 + 48 - 9
= 63 - 9
= 54
b) {[(37 + 13) : 5].2 - 45 : 5}.7 - 2022⁰
= [(50 : 5).2 - 9].7 - 1
= (10.2 - 9).7 - 1
= (20 - 9).7 - 1
= 11.7 - 1
= 77 - 1
= 76
Bài 2
a) 13x + 3 = 16
13x = 16 - 3
13x = 13
x = 13 : 13
x = 1
b) 2x - 138 = 2⁴ : 2³
2x = 2 + 138
2x = 140
x = 140 : 2
x = 70
58 x 32 + 32 x 8 + 16 x 5
= 32 x ( 58 + 32 ) + 16 x 5
=32 x 90 + 16 x 5
= 16 x 2 x 90 + 16 x 5
= 16 x 180 + 16 x 5
= 16 x ( 180 + 5 )
= 16 x 185
= 2960
\(58.32+32.8+16.5\)
\(=16.116+16.16+16.5\)
\(=16.\left(116+16+5\right)\)
\(=16.137\)
\(=2192\)
a) 142+(118-x)=217
118-x =217-142
118-x =75
x =43
b) 818-(x-305)=712
x-305 =818-712
x-305 = 106
x = 411
c)x-32:16=48
x-2 =48
x =50
d)(x-32):16=48
x-32 =48.16
x-32 =768
x = 800
(X-3)-120=0
X-123=0
X=123
8x-3=0
8x=3
x=3/8
124+(118-x)=217
118-x=93
x=25
156-(x+61)=82
x+61=74
x=13
814-(x-305)=712
x-305=102
x=407
(X-32)÷16=48
x-32=768
x=800
X-32: 16=48
x-2=48
x=50
( x - 3 ) - 120 = 0
<=> x - 3 = 120
<=> x = 120 + 3
<=> x = 123
8x - 3 = 0
<=> 8x = 3
<=> x = 3 : 8
<=> x = 3/8
124 + ( 118 - x ) = 217
<=> 118 - x = 217 - 124
<=> 118 - x = 93
<=> x = 118 - 93
<=> x = 25
156 - ( x + 61 ) = 82
<=> x + 61 = 156 - 82
<=> x + 61 = 74
<=> x = 74 -61
<=> x = 13
814 -( x - 305 ) = 712
<=> x - 305 = 814-712
<=> x - 305 = 102
<=> x =102 + 305
<=> x = 407
( x - 32) : 16 = 48
<=> x - 32 = 48 x 16
<=> x - 32 = 768
<=> x = 768 + 32
<=> x = 800
x - 32 : 16 = 48
<=> x - 2 = 48
<=> x = 48 + 2
<=> x = 50
(x-32):16=48
=> x-32=48.16
=> x-32=768
=> x=768+32
=> x=800
x-32:16=48
=> x-2=48
=> x=48+2
=> x=50
( x - 32 ) : 16 = 48
x - 32 = 48 . 16
x - 32 = 768
x = 768 + 32= 800
x - 32 : 16= 48
x - 2 = 48
x = 48 + 2= 50