thay x=0,5 vào biểu thức ta có:

3.(0,5-3).(0,5+7)+(0,5-4)^2+48

=3.(-2,5).7,5+(-3,5)^2+48

=3.(-2,5).7,5+12,25+48

=-7,5.(7,5)+12,25+48

=-56,25+12,25+48

=-44+48

=4

khó quá

với lại mình học lớp 7

\(3\left(x-3\right)\left(x+7\right)+\left(x-4\right)^2+48\)

\(=\left(3x-9\right)\left(x+7\right)+\left(x^2-8x+16\right)+48\)

\(=3x^2+21x-9x-63+x^2-8x+16+48\)

\(=4x^2+4x+1\)

\(=\left(2x\right)^2+2\cdot2x\cdot1+1^2\)

\(=\left(2x+1\right)^2\)

Thay x = 0,5 vào biểu thức ta có :

\(\left(2\cdot0,5+1\right)^2\)

\(=\left(1+1\right)^2\)

\(=2^2\)

\(=4\)

a) \(x^2-2xy-4z^2+y^2=\left(x-y\right)^2-4z^2=\left(x-y-2z\right)\left(x-y+2z\right)=\left(6+4-2.45\right)\left(6+4+2.45\right)=-8000\)b) \(3\left(x-3\right)\left(x+7\right)+\left(x-4\right)^2+48=3\left(x^2+4x-21\right)+\left(x^2-8x+16\right)+48=4x^2+4x+1=\left(2x+1\right)^2=\left(2.0,5+1\right)^2=4\)

a: Ta có: \(x^2-2xy+y^2-4z^2\)

\(=\left(x-y\right)^2-\left(2z\right)^2\)

\(=\left(x-y-2z\right)\left(x-y+2z\right)\)

\(=\left(6+4-2\cdot45\right)\left(6+4+2\cdot45\right)\)

\(=-8000\)

b: Ta có: \(3\left(x-3\right)\left(x+7\right)+\left(x-4\right)^2+48\)

\(=3\left(x^2+4x-21\right)+\left(x-4\right)^2+48\)

\(=3x^2+12x-63+x^2-8x+16+48\)

\(=2x^2+4x+1\)

\(=2\cdot\dfrac{1}{4}+4\cdot\dfrac{1}{2}+1\)

\(=\dfrac{7}{2}\)

1) \(2x^2+5x-3=0\)

\(\Leftrightarrow2x^2+6x-x-3=0\)

\(\Leftrightarrow2x\left(x+3\right)-\left(x+3\right)=0\)

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

\(\Rightarrow\orbr{\begin{cases}x+3=0\\2x-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-3\\x=\frac{1}{2}\end{cases}}}\)

\(2x^2+5x-3=0\)

\(\Leftrightarrow2x^2+2x+3x-3=0\)

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

\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{2}\\x=-3\end{cases}}\)

3( x - 3 )( x + 7) + ( x - 4)² + 48=(3x-9)(x+7)+x²-2.x.4+4²+48

=3x²+21x-9x-63+x²-8x+16+48

=4x²+4x+1

=4(x²+x)+1

Thay x=0,5 ta có:

3( x - 3 )( x + 7) + ( x - 4)² + 48=4(0,5²+0,5)+1=4(0,25+0,5)+1=4.0,75+1=3+1=4

Mình ko chắc lắm đâu nha, bạn bấm thử máy tính xem, sai thì cho mình xin lỗi

3( x - 3 )( x + 7) + ( x - 4)² + 48=(3x-9)(x+7)+x²-2.x.4+4²+48

=3x²+21x-9x-63+x²-8x+16+48

=4x²+4x+1

=4(x²+x)+1

Thay x=0,5 ta có:

3( x - 3 )( x + 7) + ( x - 4)² + 48=4(0,5²+0,5)+1=4(0,25+0,5)+1=4.0,75+1=3+1=4

Mình ko chắc lắm đâu nha, bạn bấm thử máy tính xem, sai thì cho mình xin lỗi

Có:\(3\left(x+3\right)\left(x-7\right)+\left(x+4\right)^2+48\)

\(=3\left(x^2-7x+3x-21\right)+\left(x^2+8x+16\right)+48\)

\(=3x^2-21x+9x-63+x^2+8x+16+48\)

\(=4x^2-4x+1\)

\(=\left(2x+1\right)^2\)

Với x=0,5 ta co:\(\left(2x+1\right)^2=\left(2\cdot0,5+1\right)^2=\left(1+1\right)^2=4\)

3(x-3)(x+7)+(x-4)²+48

=3x²+12x-63+x²-8x+16+48

=4x²+4x+1

=(2x+1)²

Thay x=0,5 ta có:

(2.0,5+1)²=(1+1)²=2²=4

Ta có:

\(3\left(x-3\right)\left(x+7\right)+\left(x-4\right)^2+48\)

\(\Rightarrow\left(3x-9\right).\left(x+7\right)+x^2-4.2.x+4^2+48\)

\(\Rightarrow3x\left(x+7\right)-9\left(x+7\right)+x^2-8x+16+48\)

\(\Rightarrow9x^2+21x-9x+63+x^2-8x+64\)

\(\Rightarrow\left(9x^2+x^2\right)+\left(21x-9x-8x\right)+63+64=10x^2+4x+127\)

Tại x = 0,5

\(\Rightarrow10.0,5^2+4.0,5+127=131,5\)

thôi ko cần nữa

đăng lên xong ko cần là sao