x-1=1/2

x   =1/2 + 1

x= 3/2

dấu / là phần nha.

ta có như sau

x-1=\(\dfrac{1}{2}\)

x   =\(\dfrac{1}{2}\) + 1

x= \(\dfrac{3}{2}\)

\(\left(x-\dfrac{1}{2}\right).\dfrac{5}{2}=\dfrac{7}{4}-\dfrac{1}{2}\)

\(\Rightarrow\left(x-\dfrac{1}{2}\right).\dfrac{5}{2}=\dfrac{5}{4}\)

\(\Rightarrow x-\dfrac{1}{2}=\dfrac{1}{2}\)

=> x = 1

Ta có: \(\left(x-\dfrac{1}{2}\right)\cdot\dfrac{5}{2}=\dfrac{7}{4}-\dfrac{1}{2}\)

\(\Leftrightarrow\left(x-\dfrac{1}{2}\right)\cdot\dfrac{5}{2}=\dfrac{5}{4}\)

\(\Leftrightarrow x-\dfrac{1}{2}=\dfrac{1}{2}\)

hay x=1

=>15/4y=3/2

hay y=2/5

\(y\times3+\dfrac{y}{2}+\dfrac{y}{4}=1\dfrac{1}{2}\\ \Rightarrow y\times3+y\times\dfrac{1}{2}+y\times\dfrac{1}{4}=\dfrac{3}{2}\\ \Rightarrow y\times\left(3+\dfrac{1}{2}+\dfrac{1}{4}\right)=\dfrac{3}{2}\\ \Rightarrow y\times\dfrac{15}{4}=\dfrac{3}{2}\\ \Rightarrow y=\dfrac{3}{2}:\dfrac{15}{4}\\ \Rightarrow y=\dfrac{2}{5}\)

2/5

29 giờ 24 phút

= 29 giờ 24 phút

29 giờ 24 phút

7/x=y/27=-42/54=-7/9

7/x=-7/9 nên x=-9

y/27=-7/9=-21/27 nên y=-21

vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv

Lời giải:

$A=11-5x-x^2=11-(x^2+5x)=17,25-(x^2+5x+2,5^2)=17,25-(x+2,5)^2$

Vì $(x+2,5)^2\geq 0$ với mọi $x$ nên $A=17,25-(x+2,5)^2\leq 17,25$

Vậy $A_{\max}=17,25$ khi $x+2,5=0\Leftrightarrow x=-2,5$

Tính bằng cách nhanh nhất :

Câu 1 : 47 nhân 54 + 49 nhân 46

=(46+54)x(47x49)

=230300

 √(3 - √(5)) × (3 + √(5)) / √10+√2 = 2.86142715787

Ta có: \(\dfrac{\sqrt{3-\sqrt{5}}\cdot\left(3+\sqrt{5}\right)}{\sqrt{10}+\sqrt{2}}\)

\(=\dfrac{\sqrt{6-2\sqrt{5}}\cdot\left(6+2\sqrt{5}\right)}{4\left(\sqrt{5}+1\right)}\)

\(=\dfrac{\left(\sqrt{5}-1\right)\left(\sqrt{5}+1\right)^2}{4\left(\sqrt{5}+1\right)}=1\)

Ta có: \(\dfrac{\sqrt{3-\sqrt{5}}\cdot\left(3+\sqrt{5}\right)}{\sqrt{10}+\sqrt{2}}\)

\(=\dfrac{\sqrt{6-2\sqrt{5}}\left(3+\sqrt{5}\right)}{2\sqrt{5}+2}\)

\(=\dfrac{\left(\sqrt{5}-1\right)\cdot\left(\sqrt{5}+1\right)^2}{4\cdot\left(\sqrt{5}+1\right)}\)

\(=\dfrac{4}{4}=1\)