Page:Trénard - Algèbre, cours complet 1926.djvu/108

EXERCICES

- Résoudre les équations suivantes :

${\begin{array}{l|cl}393.\quad 4x-2=18.&\quad &394.\quad 7x-3=3x+6.\\395.\quad 12x-5+3x=10x.\qquad &&396.\quad 19-5x=25-8x\\397.\quad {\cfrac {7x}{4}}-8=x+1.&&398.\quad {\cfrac {x}{2}}-1={\cfrac {x}{3}}\end{array}}$

${\begin{array}{ll}399.&26x-108+24x-72+14x=36x+100.\\400.&6x+90-34x+16=14x-26-108x.\\401.&14x-10,5+21=14x+11-2x.\\402.&6(x-3)=3x+3.\\403.&7(2x-5)=10x+5.\\404.&4(x-7)+12-x=2x-7.\\405.&2(9-2x)-24=-12-(3+x).\\406.&26x-16(2x-1)+14=34x+5(4-2x)-28x-x.\\407.&3x-5(x+1)=2(7-x)+5x-4(x+6)-17.\\408.&42-5\left(7-{\cfrac {x}{3}}\right)={\cfrac {5x}{6}}+12\\409.&9x+{\cfrac {1}{2}}={\cfrac {7x}{4}}+{\cfrac {149}{8}}.\\410.&{\cfrac {7x}{15}}-2-{\cfrac {x}{18}}=-{\cfrac {5x}{6}}-{\cfrac {34}{45}}.\\411.&{\cfrac {5x}{4}}-{\cfrac {7x}{6}}+{\cfrac {5}{3}}={\cfrac {15x}{12}}+2-{\cfrac {13x}{9}}.\\412.&15x-{\cfrac {5x-1}{7}}={\cfrac {284}{35}}+x.\\413.&{\cfrac {x+4}{2}}+{\cfrac {x-8}{4}}={\cfrac {3x-2}{3}}+2.\\414.&1-{\cfrac {2x-1}{3}}+5x={\cfrac {x+2}{2}}+3x+7.\\415.&{\cfrac {4x-13}{5}}-{\cfrac {8x-5}{20}}+{\cfrac {5x}{2}}={\cfrac {7x}{8}}-{\cfrac {11x-3}{15}}+14.\\416.&{\cfrac {x+x^{2}}{12}}-{\cfrac {2x^{2}+x}{3}}-{\cfrac {2}{15}}=x^{2}-{\cfrac {5x+x^{2}}{12}}-{\cfrac {3x^{2}+x}{2}}.\end{array}}$

${\begin{array}{l|cl}417.\quad {\cfrac {x}{2+{\sqrt {3}}}}={\cfrac {2-{\sqrt {3}}}{3}}.\qquad &\quad &418.\quad {\cfrac {7(2x-5)}{3(x-2)}}={\cfrac {22}{9}}.\\419.\quad {\cfrac {x-3}{6x-58}}+3=4.&&420.\quad {\cfrac {x-2}{x}}+{\cfrac {4}{x}}={\cfrac {27}{3x}}.\end{array}}$

${\begin{array}{ll}421.&{\cfrac {3}{x-2}}-{\cfrac {1}{x-3}}={\cfrac {2}{x-5}}.\\422.&10-\left[{\cfrac {4x+2}{3}}-{\cfrac {5(x-2)}{4}}\right]={\cfrac {7x-6}{2}}.\\423.&{\cfrac {3x-1}{4}}-{\cfrac {2(3-x)}{3}}=5\left[x-{\cfrac {2x+7(4x-5)}{15}}-{\cfrac {13}{60}}\right].\end{array}}$