Tìm x :
x + 23 = 98
x + 78 = 92
tính bằng cách thuận tiện nhất :
4 x 26 x 25 63 x 78 - 53 x 78
67 x 92 + 67 x 8 8 x 23 x 25 x 125
a: =100x26=2600
b: =78x10=780
c: =67x100=6700
d: =1000x575=575000
\(4\times26\times25=\left(4\times25\right)\times26=100\times26=2600\\ 63\times78-53\times78=\left(63-53\right)\times78=10\times78=780\\ 67\times92+67\times8=67\times\left(92+8\right)=67\times100=6700\\ 8\times23\times25\times125=\left(8\times125\right)\times\left(23\times25\right)=1000\times575=57500\)
a: =100x26=2600
b: =78x10=780
c: =67x100=6700
d: =1000x575=575000
Tìm số nguyên x thỏa mãn x - |-78| =98 + (-100) + (-78)
A. x=0
B. x=−158
C. x=−1
D. x=−2
92+|x+-98|=91
tìm x
/x+-98/=/x-98/
TH1
\(x\ge98\)=>/x-98/=x-98
Khi đó ta có
92+x-98=91
<=>x=91-92+98
<=>x=97(KTM vì 97<98)
TH2 x<98=>/x-98/=98-x
Khi đó ta có
92+98-x=91
<=>x=99(KTM)Vì 99>98
Vậy vô nghiệm
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Giải các phương trình:
\(a,\frac{x+2}{98}+\frac{x+4}{96}=\frac{x+6}{94}+\frac{x+8}{92}\)
\(b,\frac{x-12}{77}+\frac{x-11}{78}=\frac{x-74}{15}+\frac{x-73}{16}\)
a) \(\Leftrightarrow\frac{x+2}{98}+\frac{x+4}{96}+2=\frac{x+6}{94}+\frac{x+8}{92}+2\)
\(\Leftrightarrow\frac{x+100}{98}+\frac{x+100}{96}-\frac{x+100}{94}-\frac{x+100}{92}=0\)
\(\Leftrightarrow\left(x+100\right)\left(\frac{1}{98}+\frac{1}{96}+\frac{1}{94}+\frac{1}{92}\right)=0\)
\(\Leftrightarrow x+100=0\Leftrightarrow x=-100\)
b)\(\Leftrightarrow\frac{x-12}{77}+\frac{x-11}{78}-2=\frac{x-74}{15}+\frac{x-73}{16}-2\)
\(\Leftrightarrow\frac{x-89}{77}+\frac{x-89}{78}-\frac{x-89}{15}-\frac{x-89}{16}=0\)
\(\Leftrightarrow\left(x-89\right)\left(\frac{1}{77}+\frac{1}{78}-\frac{1}{15}-\frac{1}{16}\right)=0\)
\(\Leftrightarrow x-89=0\Leftrightarrow x=89\)
tìm x biết : x+9/98 +x+4/96=94/x+6+92/x+8
Giải các phương trình:
\(a,\frac{x+2}{98}+\frac{x+4}{96}=\frac{x+6}{94}+\frac{x+8}{92}\)
\(b,\frac{x-12}{77}+\frac{x-11}{78}=\frac{x-74}{15}+\frac{x-73}{16}\)
Lời giải:
a)
PT \(\Leftrightarrow \frac{x+2}{98}+1+\frac{x+4}{96}+1=\frac{x+6}{94}+1+\frac{x+8}{92}+1\)
\(\Leftrightarrow \frac{x+100}{98}+\frac{x+100}{96}=\frac{x+100}{94}+\frac{x+100}{92}\)
\(\Leftrightarrow (x+100)\left(\frac{1}{98}+\frac{1}{96}-\frac{1}{94}-\frac{1}{92}\right)=0\)
Dễ thấy \(\frac{1}{98}+\frac{1}{96}-\frac{1}{94}-\frac{1}{92}<0\) nên $x+100=0$
$\Rightarrow x=-100$
b)
PT \(\Leftrightarrow \frac{x-12}{77}-1+\frac{x-11}{78}-1=\frac{x-74}{15}-1+\frac{x-73}{16}-1\)
\(\Leftrightarrow \frac{x-89}{77}+\frac{x-89}{78}=\frac{x-89}{15}+\frac{x-89}{16}\)
\(\Leftrightarrow (x-89)\left(\frac{1}{77}+\frac{1}{78}-\frac{1}{15}-\frac{1}{16}\right)=0\)
Dễ thấy \(\frac{1}{77}+\frac{1}{78}-\frac{1}{15}-\frac{1}{16}< 0\)
\(\Rightarrow x-89=0\Rightarrow x=89\)
tìm x
98-x=78
Tìm x
X + 8 = 22
X + 14 = 92
23 + x = 62
X + 8 = 22
X = 22 − 8
X = 14
X + 14 = 92
X = 92 − 14
X = 78
23 + x = 62
X = 62 − 23
X = 39
Tìm x: 9 2 − 2 3 − x + 7 4 = − 5 4
9 2 − 2 3 − x + 7 4 = − 5 4 2 3 − x + 7 4 = 9 2 − − 5 4 2 3 − x + 7 4 = 9 2 + 5 4 2 3 − x + 7 4 = 23 4 x + 7 4 = 2 3 − 23 4 x + 7 4 = 8 − 69 12 x + 7 4 = − 57 12 x + 7 4 = − 19 4 x = − 19 4 − 7 4 x = − 26 4 x = − 13 2