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\(\left(4x+1\right)\left(-4x+1\right)-16x\left(-5\right)=17\)
\(\Leftrightarrow\left(1+4x\right)\left(1-4x\right)+80x-17=0\)
\(\Leftrightarrow1-16x^2+80x-17=0\)
\(\Leftrightarrow-16x^2-16+80x=-16\left(x^2-5x+1\right)=0\Leftrightarrow-16\left[\left(x^2-5x+\dfrac{25}{4}\right)-\dfrac{21}{4}\right]=0\Leftrightarrow-16\left(x-\dfrac{5}{2}\right)^2+84=0\Rightarrow\left(x-\dfrac{5}{2}\right)^2=\dfrac{21}{4}\) \(\Rightarrow\left[{}\begin{matrix}x-\dfrac{5}{2}=\sqrt{\dfrac{21}{4}}\\x-\dfrac{5}{2}=-\sqrt{\dfrac{21}{4}}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\sqrt{\dfrac{21}{4}}+\dfrac{5}{2}\\x=-\sqrt{\dfrac{21}{4}}+\dfrac{5}{2}\end{matrix}\right.\)
( 4x - 1 )3 - ( 4x - 3 )( 16x2 + 3 )
= ( 4x )3 - 3.( 4x )2.1 + 3.4x.12 - 13 - ( 64x3 + 12x - 48x2 - 9 )
= 64x3 - 48x2 + 12x - 1 - 64x3 - 12x + 48x2 + 9
= ( 64x3 - 64x3 ) + ( 48x2 - 48x2 ) + ( 12x - 12x ) + ( 9 - 1 )
= 8
bài này bạn tham khảo loigiaihay cũng có nha
Chúc bạn học tốt!
1) x - 8 = 3 - 2(x + 4)
<=> x - 8 = 3 - 2x - 8
<=> x + 2x = -5 + 8
<=> 3x = 3
<=> x = 1
Vậy S = {1}
2) 2(x + 3) - 3(x - 1) = 2
<=> 2x + 6 - 3x + 3 = 2
<=> -x = 2 - 9
<=> -x = -7
<=> x = 7
Vậy S = {7}
3) 4(x - 5) - (3x - 1) = x - 19
<=> 4x - 20 - 3x + 1 = x - 19
<=> x - 19 = x - 19
<=> x - x = -19 + 19
<=> 0x = 0
=> pt luôn đúng với mọi x
4) 7 - (x - 2) = 5(2x - 3)
<=> 7 - x + 2 = 10x + 15
<=> -x - 10x = 15 - 9
<=> -11x = 6
<=> x = -6/11
Vậy S = {-6/11}
\(5,32-4\left(0,5y-5\right)=3y+2\)
\(\Leftrightarrow32-2y+20-3y-2=0\)
\(\Leftrightarrow-5y+50=0\Leftrightarrow y=10\)
\(6,3\left(x-1\right)-x=2x-3\)
\(\Leftrightarrow3x-3-x-2x+3=0\)
\(\Leftrightarrow0=0\) (luôn đúng )
=> pt vô số nghiệm
\(7,2x-4=-12+3x\)
\(\Leftrightarrow-x=-8\Leftrightarrow x=8\)
\(8,x\left(x-1\right)-x\left(x+3\right)=15\)
\(\Leftrightarrow x^2-x-x^2-3x-15=0\)
\(\Leftrightarrow-4x-15=0\Leftrightarrow x=\frac{-15}{4}\)
\(9,x\left(x-1\right)=x\left(x+3\right)\)
\(\Leftrightarrow x^2-x-x^2-3x=0\Leftrightarrow-4x=0\Leftrightarrow x=0\)
\(10,x\left(2x-3\right)+2=x\left(x-5\right)-1\)
\(\Leftrightarrow2x^2-3x+2-x^2+5x+1=0\)
\(\Leftrightarrow x^2+2x+3=0\) (vô lý)
=> pt vô nghiệm
\(11,\left(x-1\right)\left(x+3\right)=-4\)
\(\Leftrightarrow x^2+2x-3+4=0\)
\(\Leftrightarrow\left(x+1\right)^2=0\Leftrightarrow x=-1\)
\(12,\left(x-2\right)\left(x-5\right)=\left(x-3\right)\left(x-4\right)\)
\(\Leftrightarrow x^2-7x+10=x^2-7x+12\)
\(\Leftrightarrow10=12\) (vô lý)=> pt vô nghiệm
(12x-5)(4x-1)+(3x-7)(1-16x)=81
<=>48x2-12x-20x+5+3x-48x2-7+112x=81
<=>-32x+115x=81+2
<=>83x=83
<=>x=1
(12x-5)(4x-1)+(3x-7)(1-16x)=81
\(48x^2\)\(-12x-20x\)\(+5+3x\)\(-48x^2\)-7+112x=81
<=>-32x+115x=81+2
<=>83x=83
<=>x=1