\(\left(x-1\right).12^{12}=12^{13}\) Giải hộ mình được ko nhanh nhé :3
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\(=5+5+...+5\)
Tổng trên có \(\left[\left(57-2\right):5+1\right]:2=6\left(\text{số 5}\right)\)
Vậy tổng là \(6\cdot5=30\)
1) \(\left(\sqrt{19}-3\right)\left(\sqrt{19}+3\right)=\left(\sqrt{19}\right)^2-3^2=19-9=10\)
2) \(\sqrt{4+\sqrt{7}}-\sqrt{4-\sqrt{7}}=\sqrt{\dfrac{8+2\sqrt{7}}{2}}-\sqrt{\dfrac{8-2\sqrt{7}}{2}}\)
\(=\sqrt{\dfrac{\left(\sqrt{7}\right)^2+2.\sqrt{7}.1+1^2}{2}}-\sqrt{\dfrac{\left(\sqrt{7}\right)^2-2.\sqrt{7}.1+1^2}{2}}\)
\(=\sqrt{\dfrac{\left(\sqrt{7}+1\right)^2}{2}}-\sqrt{\dfrac{\left(\sqrt{7}-1\right)^2}{2}}=\dfrac{\left|\sqrt{7}+1\right|}{\sqrt{2}}-\dfrac{\left|\sqrt{7}-1\right|}{\sqrt{2}}\)
\(=\dfrac{\sqrt{7}+1}{\sqrt{2}}-\dfrac{\sqrt{7}-1}{\sqrt{2}}=\dfrac{2}{\sqrt{2}}=\sqrt{2}\)
3) \(\sqrt{8+\sqrt{60}}+\sqrt{45}-\sqrt{12}=\sqrt{8+\sqrt{4.15}}+\sqrt{9.5}-\sqrt{4.3}\)
\(=\sqrt{8+2\sqrt{15}}+3\sqrt{5}-2\sqrt{3}\)
\(=\sqrt{\left(\sqrt{5}\right)^2+2.\sqrt{5}.\sqrt{3}+\left(\sqrt{3}\right)^2}+3\sqrt{5}-2\sqrt{3}\)
\(=\sqrt{\left(\sqrt{5}+\sqrt{3}\right)^2}+3\sqrt{5}-2\sqrt{3}=\left|\sqrt{5}+\sqrt{3}\right|+3\sqrt{5}-2\sqrt{3}\)
\(\sqrt{5}+\sqrt{3}+3\sqrt{5}-2\sqrt{3}=4\sqrt{5}-\sqrt{3}\)
4) \(\sqrt{9-4\sqrt{5}}-\sqrt{9+4\sqrt{5}}\)
\(=\sqrt{\left(\sqrt{5}\right)^2-2.2.\sqrt{5}+2^2}-\sqrt{\left(\sqrt{5}\right)^2+2.2.\sqrt{5}+2^2}\)
\(=\sqrt{\left(\sqrt{5}-2\right)^2}-\sqrt{\left(\sqrt{5}+2\right)^2}=\left|\sqrt{5}-2\right|-\left|\sqrt{5}+2\right|\)
\(=\sqrt{5}-2-\sqrt{5}-2=-4\)
\(=\left(25+\dfrac{12}{67}+9+\dfrac{13}{41}-8-\dfrac{12}{67}+3+\dfrac{28}{41}\right)\cdot\dfrac{-21}{13}\)
\(=\left(25+9-8+3+1\right)\cdot\dfrac{-21}{13}=\dfrac{-630}{13}\)
\(\frac{3}{5}\).\(\frac{-9}{13}\)+\(\frac{4}{13}\).\(\frac{-3}{5}\)+\(\frac{12}{7}\)=\(\frac{3}{5}\).\(\frac{-9}{13}\)+\(\frac{-4}{13}\).\(\frac{3}{5}\)+\(\frac{12}{7}\)
=\(\frac{3}{5}\).(\(\frac{-9}{13}\)+\(\frac{-4}{13}\))+\(\frac{12}{7}\)
= \(\frac{3}{5}\).-1+\(\frac{12}{7}\)
=\(\frac{-3}{5}\)+\(\frac{12}{7}\)
=\(\frac{39}{35}\)
a)x+13=32-76
x+13=(-44)
x=-31
b)(-15)+x=43
x=43+15
x=58
c)8-(3-7)
=8+4
=12
d)(-5)-(9-12)
=(-5)+3
=-2
t tôi nha
1)
a) x + 13 = 32 - 76
x + 13 = -44
x = ( -44 ) - 13
x = -57
b) ( -15 ) + x = ( -14 ) - ( -57 )
( -15 ) + x = 43
x = 43 - ( -15 )
x = 58
2)
a) 8 - ( 3 - 7 ) = 8 - ( -4 ) = 12
b) ( -5 ) - ( 9 - 12 ) = ( -5 ) - ( -3 ) = -2
\(\frac{x-12}{3}=\frac{x+1}{4}\)
=>(x-12).4=(x+1)*3
4x-48=3x+3
4x-3x=48+3
x=51
(x-12)/3=(x+1)/4
(x-12)*4=(x+1)*3
x*4-12*4=x*3+1*3
4x-48=3x+3
4x-3x=3+48
x=51
a)x=72*x-x+x*29=2200
x*(72-1+29)=2200
x*100=2200
x=2200:100
X=22
b)Hình như bạn chép sai đề bài rồi mình học từ lớp 2 là không có số nào chia cho 0 bạn kiểm tra lại đề đi nếu muốn làm cũng như cách làm phần a)
a) 72 * x - x + 29 = 2000
x * (72 - 1 + 29) = 2000
x * 100 = 2000
x = 2000 : 100
x = 20
b) 13 * x - x * 12 - x = 190
x * (13 - 12 - 1) = 190
x * 0 = 190
x = 190 : 0
(x-1).12^12=12^13
x-1=12^13:12^12
x-1=12
x=12+1
x=13
-HT-
\((x-1).12^{12}=12^{13}\)
\(\Leftrightarrow x-1=12^{13}:12^{12}\)
\(\Leftrightarrow x-1=12\)
\(\Leftrightarrow x=12+1\)
\(\Leftrightarrow x=13\)
\(V\text{ậy}x=13\)