(x - 5)4=(x - 5)6
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a)x-12=-28
x=(-28)+12
x=-16
vậy x=-16
b)20+8(x+3)=5^2.4
20+8(x+3)=25.4
20+8(x+3)=100
8(x+3)=100-20
8(x+3)=80
x+3=80:8
x+3=10
x=10-3
x=7
vậy x=7
\(a,x-12=-28\)
\(x=-28+12\)
\(x=-16\)
\(b,20+8\left(x+3\right)=5^2.4\)
\(20+8\left(x+3\right)=100\)
\(8\left(x+3\right)=100-20\)
\(8\left(x+3\right)=80\)
\(x+3=80:8\)
\(x+3=10\)
\(x=10-3\)
\(x=7\)
a)Ta có: \(\frac{-2}{5}+\frac{6}{5}.\left(y-\frac{2}{3}\right)=\frac{-4}{15}\)
\(\Rightarrow\frac{6}{5}.\left(y-\frac{2}{3}\right)=\frac{-4}{15}-\frac{-2}{15}\)
\(\Rightarrow\frac{6}{5}.\left(y-\frac{2}{3}=\right)\frac{-2}{5}\)
\(\Rightarrow y-\frac{2}{3}=\frac{-2}{5}:\frac{6}{5}=\frac{-1}{3}\)
\(\Rightarrow y=\frac{-1}{3}+\frac{2}{3}=\frac{1}{3}\)
Vậy x = \(\frac{1}{3}\)
b) Ta có: \(\frac{-2}{5}+\frac{2}{3}x+\frac{1}{6}x=\frac{-4}{15}\)
\(\Rightarrow\frac{-2}{5}+x.\left(\frac{2}{3}+\frac{1}{6}\right)=\frac{-4}{15}\)
\(\Rightarrow x.\frac{5}{6}=\frac{-4}{15}-\frac{-2}{15}\)
\(x.\frac{5}{6}=\frac{-2}{15}\)
\(\Rightarrow x=\frac{-2}{15}:\frac{5}{6}=\frac{-4}{25}\)
Vậy x = \(\frac{-4}{25}\)
c) Ta có: \(\frac{3}{2}x+\frac{-2}{5}-\frac{2}{3}.x=\frac{-4}{15}\)
\(\Rightarrow\frac{3}{2}x-\frac{2}{3}x+\frac{-2}{5}=\frac{-4}{15}\)
\(\Rightarrow x.\left(\frac{3}{2}-\frac{2}{4}\right)=\frac{-4}{15}-\frac{-2}{15}\)
\(\Rightarrow x.\frac{5}{6}=\frac{-2}{15}\)
\(\Rightarrow x=\frac{-2}{15}:\frac{5}{6}=\frac{-4}{25}\)
Vậy x = \(\frac{-4}{25}\)
Ủng hộ tớ nha m.n
(x-5)4 = (x-5)6
(x-5)4 - ( x-5)6 = 0
(x-5)4.{ 1 - (x-5)2 }= 0
\(\left[{}\begin{matrix}x-5=0\\(x-5)^2=1\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=5\\x-5=1\\x-5=-1\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=5\\x=6\\x=4\end{matrix}\right.\)
\(x\in\) { 4; 5; 6}
a) (x - 1) . (x5 + x4 + x3 + x2 + x + 1) = (x . x5 + x . x4 + x . x3 + x . x2 + x . x + x . 1) - (1 . x5 + 1 . x4 + 1 . x3 + 1 . x2 + 1 . x + 1 . 1)
= (x6 + x5 + x4 + x3 + x2 + x ) - (x5 + x4 + x3 + x2 + x + 1)
= x6 + x5 + x4 + x3 + x2 + x - x5 - x4 - x3 - x2 - x - 1
= x6 + (x5 - x5) + (x4 - x4) + (x3 - x3) + (x2 - x2) + (x - x) - 1
= x6 - 1
b) (x + 1) . (x6 - x5 + x4 - x3 + x2 - x + 1) = (x . x6 - x . x5 + x . x4 - x . x3 + x . x2 - x . x + x . 1) + (1 . x6 - 1 . x5 + 1 . x4 - 1 . x3 + 1 . x2 - 1 . x + 1 . 1)
= (x7 - x6 + x5 - x4 + x3 - x2 + x ) + (x6 - x5 + x4 - x3 + x2 - x + 1)
= x7 - x6 + x5 - x4 + x3 - x2 + x + x6 - x5 + x4 - x3 + x2 - x + 1
= x7+(-x6 + x6) + (x5 - x5) + (-x4 + x4) + (x3 - x3) + (-x2 + x2) + (x - x) + 1
= x7 + 1
(x - 5)4 = (x - 5)6
⇒ (x - 5)6 - (x - 5)4 = 0
⇒ (x - 5)4.[(x - 5)2 - 1]
⇒ (x - 5)4 (x - 6)(x - 4) = 0
⇒ x - 5 = 0 hoặc x - 6 = 0 hoặc x - 4 =0
⇒ x ϵ {5;6;4}
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