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\(A=3x-x^2\)
\(=-\left(x^2-2.x.\frac{3}{2}+\left(\frac{3}{2}\right)^2-\frac{9}{4}\right)\)
\(=-\left(\left(x-\frac{3}{2}\right)^2-\frac{9}{4}\right)\)
\(=\frac{9}{4}-\left(x-\frac{3}{2}\right)^2\ge\frac{9}{4}\)
Min A = \(\frac{9}{4}\)khi \(x-\frac{3}{2}=0=>x=\frac{3}{2}\)
\(B=25+2x-x^2\)
\(=-\left(x^2-2x+1-26\right)\)
\(=-\left(\left(x-1\right)^2-26\right)\)
\(=26-\left(x-1\right)^2\ge26\)
Min A = 26 khi \(x-1=0=>x=1\)
\(C=x^2-5x+19\)
\(=x^2-2.x.\frac{5}{2}+\left(\frac{5}{2}\right)^2+\frac{51}{4}\)
\(=\left(x+\frac{5}{2}\right)^2+\frac{51}{4}\ge\frac{51}{4}\)
Min C = \(\frac{51}{4}\)khi \(x+\frac{5}{2}=0=>x=\frac{-5}{2}\)
@@@ nha các bạn . Thanks
a) -2x-x+17=34+x-25
<=> -2x-x-x=34-25-17
<=> -4x=-8
<=> x=2
b)17x+16x+37=2x+43
<=> 33x-2x=43-37
<=> 31x=6
<=>x=\(\frac{6}{31}\)
c) -2x-3x+51=34+2x-50
<=>-5x-2x=34-50-51
<=>-7x=-67
<=>x=\(\frac{67}{7}\)
d) [-2.(4x2-4x+1)- 1]=-106
<=> -8x2+8x-2-1=-106
<=>-8x2+8x=-103
-2x-(x-7)=34-(-x+25)
-2x-x+7=34+x-25
-2x-x+7-34-x+25=0
-4x-2=0
-4x=2
x=\(-\frac{1}{2}\)
#H
Lời giải:
dan3yt3t3
-2x-3.(x-17)=34-2(-x+25)
-2x-3x+51=34+2x-50
-2x-3x+51-34-2x+50=0
-7x+67=0
-7x=-67
x=\(\frac{67}{7}\)
- 2x - 3( x- 17) = 34 - 2( -x + 25)
- 2x - 3x + 51 = 34 + 2x - 50
- 2x - 3x - 2x = - 51 + 34 - 50
-7x = -67
x = \(\frac{67}{7}\)
Vậy x =\(\frac{67}{7}\)
\(-2x-3\left(x-17\right)=34-2\left(-x+25\right)\)
\(\Leftrightarrow-2x-3x+51=34+2x-50\)
\(\Leftrightarrow-5x+51=-16+2x\)
\(\Leftrightarrow-7x=-67\Leftrightarrow x=\frac{67}{7}\)