(4x.7)²=11  ➩ 4².x².7²=11➩16.x².49=11➩784.x²=11➩x²=\(\dfrac{11}{784}\)➩x=\(\sqrt{\dfrac{11}{784}}\)

hoặc x=\(-\sqrt{\dfrac{11}{784}}\)

\(a.x=-0,6\)

\(c.x=-11,6\)

Pt nhju ak!!!

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{\sqrt{11}+7}{4}\\x=\dfrac{-\sqrt{11}+7}{4}\end{matrix}\right.\)

\(I=-\left(x-1\right)\left(x+6\right)\left(x+2\right)\left(x+3\right)+2021\)

\(=-\left(x^2+5x-6\right)\left(x^2+5x+6\right)+2021\)

\(=-\left[\left(x^2+5x\right)^2-6^2\right]+2021\)

\(=-\left(x^2+5x\right)^2+2057\le2057\)

\(I_{max}=2057\) khi \(x^2+5x=0\)

\(K=-\left(x-2\right)\left(x-7\right)\left(x-5\right)\left(x-4\right)+102\)

\(=-\left(x^2-9x+14\right)\left(x^2-9x+20\right)+102\)

\(=-\left(x^2-9x+14\right)\left(x^2+9x+14+6\right)+102\)

\(=-\left[\left(x^2-9x+14\right)^2+6\left(x^2-9x+14\right)\right]+102\)

\(=-\left[\left(x^2-9x+14\right)+6\left(x^2-9x+14\right)+9-9\right]+102\)

\(=-\left(x^2-9x+17\right)^2+111\le111\)

\(K_{max}=111\) khi \(x^2-9x+17=0\)

\(M=-\left(4x^2+4x+1\right)\left(16x^2+16x+3\right)-11\)

Đặt \(4x^2+4x+1=t\Rightarrow16x^2+16x=4t-4\)

\(\Rightarrow M=-t\left(4t-4+3\right)-11\)

\(M=-4t^2+t-11\)

\(M=-4\left(t-\dfrac{1}{8}\right)^2-\dfrac{175}{16}\le-\dfrac{175}{16}\)

\(M_{max}=-\dfrac{175}{16}\) khi \(t=\dfrac{1}{8}\)

a,x.(3\4+2\5)=1

x.20\23=1

x=1:20\23

x=20\23

b,x-9\11=0 hoặc x-25\31=0

x=9\11                x=25\31

c,x-3\7.9\14=7\3

x-2\3=7\3

x=7\3+2\3

x=9\3

x=3

a. 4(2x+7)-3(3x-2)=24

 => 8x+28-9x+6=24

=> -x+34=24

=> -x=-10=> x=10

b. 2(x-1)+3(x-2)=x-4

=> 2x-2+3x-6=x-4

=> 5x-8=x-4

=> 5x-x=-4+8

=> 4x=4=> x=1

c. [124-(20-4x)]:30+7=11

=> (124-20+4x):30=4

=> (104+4x):30=4

=> 104+4x=120

=> 4x=96 => x=24

uytu tyuyt

a) \(x^2-4x-7=0\)

Ta có: \(\Delta=4^2+4.28=128,\sqrt{\Delta}=\sqrt{128}\)

pt có 2 nghiệm:

\(x_1=\frac{4+\sqrt{128}}{2}\);\(x_2=\frac{4-\sqrt{128}}{2}\)

b) \(x^2-x-11=0\)

Ta có: \(\Delta=1^2+4.11=45,\sqrt{\Delta}=\sqrt{45}\)

pt có 2 nghiệm:

\(x_1=\frac{1+\sqrt{45}}{2}\)\(x_2=\frac{1-\sqrt{45}}{2}\)