D = x\(^2\) + 2xy + y\(^2\) - z\(^2\) - 2zt - t\(^2\)

D = (x + y)\(^2\)  - z\(^2\) + z\(^2\) - 2zt + t\(^2\) - t\(^2\)

D = (89 + 11)\(^2\) +(z - t)\(^2\) - z\(^2\) - t\(^2\)

D = 100\(^2\) + (60 - 30)\(^2\) - 60\(^2\) - 30\(^2\)

D = 10 000 + 900 - 3600 - 900

D = 6400

Học tốt

D= 6400 nha

Ta có : A = 2 x ( X + 1 )  + X + 1 

= ( X + 1 ) x ( 2 + 1 )

= ( X + 1 ) x 3

Thay X = 99 vào biểu thức ta có :

( 99 + 1 ) x 3 = 300

e, A = 2x ( x + 1 ) + x + 1 tại x =99

    A = 2 x 99 x ( 99 + 1 ) + 99 + 1

    A =  198 x 100 + 100

    A =  19800 + 100

    A =  19900

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giúp gì

các tips để giỏi toán:)

Bài 5 : 

f, bạn xem lại đề hay là tìm x chứa tham số a ? 

g, \(x^2+3x-\left(2x+6\right)=0\Leftrightarrow x\left(x+3\right)-2\left(x+3\right)=0\)

\(\Leftrightarrow\left(x-2\right)\left(x+3\right)=0\Leftrightarrow x=-3;x=2\)

h, \(5x+20-x^2-4x=0\Leftrightarrow5\left(x+4\right)-x\left(x+4\right)=0\)

\(\Leftrightarrow\left(5-x\right)\left(x+4\right)=0\Leftrightarrow x=-4;x=5\)

m, \(x^3-5x^2-x+5=0\Leftrightarrow x^2\left(x-5\right)-\left(x-5\right)=0\)

\(\Leftrightarrow\left(x-1\right)\left(x+1\right)\left(x-5\right)=0\Leftrightarrow x=\pm1;x=5\)

n, \(x\left(x-3\right)-7x+21=0\Leftrightarrow x\left(x-3\right)-7\left(x-3\right)=0\)

\(\Leftrightarrow\left(x-7\right)\left(x-3\right)=0\Leftrightarrow x=3;x=7\)

x=7 nha

Bài 5 : 

a, \(2x\left(x-3\right)+x-3=0\Leftrightarrow\left(2x+1\right)\left(x-3\right)=0\Leftrightarrow x=-\frac{1}{2};x=3\)

b, \(x\left(x+1\right)-x-1=0\Leftrightarrow\left(x-1\right)\left(x+1\right)=0\Leftrightarrow x=\pm1\)

c, sửa đề  \(x^3-3x^2+x-3=0\Leftrightarrow x^2\left(x-3\right)+x-3=0\)

\(\Leftrightarrow\left(x^2+1>0\right)\left(x-3\right)=0\Leftrightarrow x=3\)

d, \(3x^2\left(2x-1\right)+1-4x^2=0\Leftrightarrow3x^2\left(2x-1\right)+\left(1-2x\right)\left(1+2x\right)=0\)

\(\Leftrightarrow\left(2x-1\right)\left(3x^2-2x-1\right)=0\Leftrightarrow\left(2x-1\right)\left(3x+1\right)\left(x-1\right)=0\Leftrightarrow x=1;x=-\frac{1}{3};x=\frac{1}{2}\)

e, \(x^3+2x-x^2-2=0\Leftrightarrow x\left(x^2+2\right)-\left(x^2+2\right)=0\)

\(\Leftrightarrow\left(x-1\right)\left(x^2+2>0\right)=0\Leftrightarrow x=1\)

x=1 nha

\(A=-x^2-x+1=-\left(x^2+x-1\right)=-\left(x^2+x+\frac{1}{4}-\frac{5}{4}\right)\)

\(=-\left(x+\frac{1}{2}\right)^2+\frac{5}{4}\le\frac{5}{4}\)

Dấu ''='' xảy ra khi x = -1/2 

Vậy GTLN A là 5/4 khi x = -1/2