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計ササイズ-平方完成

平方完成 演習12

-3p2 +6p +13 -5n2 +405n u2 -(15/11) u 2at2 +bt -a ( 3-t )2 +t2 +( 2t-3 )2 2bt2 +2at +1 -b -5/4 b2z2 +2abz +a2 +9/4b2 10x2 -12x +3 3x2 +2ax +b -a -1 -x2 +tx +c -t

平方完成 演習11

4( 180t2 -252t +89 ) 2p2 -2p +1 u2 +v2 + 2/3 u - 1/3 =0 5a2 -8ab +5b2 (π3/12) a2 -4a +π/2 m2 +( n-3 )m -n +3 -4x2 +4x +2 8cos4θ -5cos2θ +1

平方完成 演習10

2at2 -4( a-2 )t -a +4 m2 -19m +171 t2 -xt +y a2 +c2 +(2/3) a +(4/3) c - 5/3 =0 (16/15) { b2 -(16/7) b +4/3 } -a2 +3a -2 -2b2 +b a/2 t2 + a/2 t +1 4x2 -12xy +10y2 +4x +11 -5x2 +40x +2800 -10x2 +60x +2800

平方完成 演習9

3t2 -4t +2 11( c2 -18c +92 ) at2 +3at +b -x2 +( α+5 )x -5α x2 +2xy +2y2 +2x +8y +14 t2 -at +2 t2 -( A+B )t +AB 6t2 -12t +8 8x2 +2( a+9 )x +8y2 +9 -a2 =0 9a2 -18a +19

平方完成 演習8

x2 -6x +y2 +2y +2 =0 x2 +y2 -(14/3)x - 7/3 y =0 t2 - { 2y / ( x+1 ) } t + ( 1-x )/( 1+x ) t2 -2at +a2 +4a -4 5( 4t2 -8t +49 ) a2( 2s2 +2st +2t2 -2s -2t +1 ) x2 -3x x2 +x (1/9) ( x2 -16x +144 ) 11/36 t2 -1/9 t + 1/27

平方完成 演習7

x2 +( 2a+1 )x +a2 +2 x2 -4ax +2a +3 x2 +ax +b 2x2 -5x +1 -3x2 +3x +1 -x2 +( 2a-4 )x -a2 +2a +4 3x2 +5x +7 2x2 -5x +8 3x2 -x +3 3x2 -14x +7

平方完成 演習6

x2 -6x +5 +y2 -4y +3 =0 (1/16) ( 9t2 -6t +9 ) 12t2 -24t +30 2a2 -3ab +2b2 x2 -4xy +5y2 -6y +9 2a2 +2a +3 9/2 a2 -6a +9/2 x2 +y2 -2x -4y -4 =0 x2 +y2 +7x +10 =0 x2 -2ax -4b +4 2t2 -2t +5

平方完成 演習5

a2 +b2 +c2 -ab -bc -ca -2m2 +2m +6 -t2 +t -1 y2 -( 2a-1 )y +a2- r2 x2 -2( t+1 )x +t +1 -α2 +( 2x-1 )α +x -3t2 -3t +2 -2t2 +4at +1 4t2 -32t +56 -t2 +at +2 t2 -6t +10 X( 3-X )

平方完成 演習4

2x2 +5x +3 -x2 +2x +4 -x2 +4x +1 1/2 x2 -x +1 ax2 +2x +a +1 -x2 +2x +2 x2 +x +c +1 ax2 -4ax +b x2 -2ax +4 -x2 +4x +5 x2 +3x +m 10x2 -36x +36 -1/2 x2 +x +2 x2 -2xy +2y2 -4x +2y +8

平方完成 演習3

mat2 +2t -1 2s2/3 -2s1/3 +1 (高2~) 6t4 -4t2 +2 4( 1 - X )( 1 + 4X ) 1/3 a2 - 8/π2 a + 1/2 π5/30 a2 + 8a + π/2 a2/3 + 4a/π2 +ab +b2 +1/2 2x2 +2x +5

平方完成 演習2

-6k2 +42k | 2t2 -t +4 | / √5 x2 +y2 +lx +my +n =0 x2 +y2 +5x -3y +6 =0 x2 +y2 +2px +3py +13 =0 x2 +y2 -x +y -6 =0 x2 + 4/( k+1 ) +y2 - 4/( k+1 )y -( 5k+1 )/( k+1 )=0 5k2 +6k +9 x2 +( 2t-10 )x -4t +16 x2 +y2 -2x -y =0 4t2 -4t +2 -2t2 +6t +4…

平方完成 演習1

-2y2 + 2y +1 2x2 -2( k-2 )x +1 x2 +2x +a2 +14a -3 x2 + ax -2 2x2 -12x +17 ax2 +6x +b x2 -2( a+2 )x +a2 -a +1 -2x2 +2ax -a 3x2 -( 3a-6 )x +b x2 -8x +14 -x2 +ax -a x2 -6x +4 2x2 +ax +b 2x2 +2√2x +2 x2 -ax 2x2 -6x +10 3a2 -3a +1