Tìm x
77 + X x 49 =4214
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49 x 77 - 302 + 23 x 49
=49x(77+23)-302
=49x100-900
=4900-900
=4000
a: \(2\left(x-51\right)=2\cdot2^3+20\)
=>\(2\left(x-51\right)=2^4+20=36\)
=>x-51=36/2=18
=>x=18+51=69
b: \(2x-49=5\cdot3^2\)
=>\(2x-49=5\cdot9=45\)
=>2x=45+49=94
=>x=94/2=47
c: \(\left[\left(8x-12\right):4\right]\cdot3^3=3^6\)
=>\(\left[4\cdot\dfrac{\left(2x-3\right)}{4}\right]=3^3\)
=>\(2x-3=3^3=27\)
=>2x=3+27=30
=>x=30/2=15
d: \(2^{x+1}-2^2=32\)
=>\(2^{x+1}=32+2^2=32+4=36\)
=>\(x+1=log_236\)
=>\(x=log_236-1\)
e: \(\left(x^3-77\right):4=5\)
=>\(x^3-77=20\)
=>\(x^3=77+20=97\)
=>\(x=\sqrt[3]{97}\)
5 x 7 x 77 - 7 x 60 + 49 x 25 - 15 x 42
= 7 x 77 x 5 - 7 x 60 + 7 x 7 x 25 - 15 x 6 x 7
= 7 x 385 - 7 x 60 + 7 x 35 - 7 x 90
= 7 x ( 385 - 60 + 35 - 90 )
= 7 x 270
= 1890
\(\dfrac{11}{4}\) \(\times\) 49 : \(\dfrac{77}{2}\)
= \(\dfrac{11}{4}\) x 49 x \(\dfrac{2}{77}\)
= \(\dfrac{11\times7\times7\times2}{4\times11\times7}\)
= \(\dfrac{7}{2}\)
\(\dfrac{11}{4}.9:\dfrac{77}{2}\)
\(=\dfrac{11}{4}.9.\dfrac{22}{7}\)
\(=\dfrac{11.7.7.2}{4.11.7}\)
\(=\dfrac{7}{2}\)