Ejercicio 79

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CAPITULO VIII

Ecuaciones enteras de primer grado
Ejercicio 79
Resolver las siguientes ecuaciones:
  1. x(2x+1 ) =8(3x+3 ) x2x1 =83x3 x1 =3x+5 x+3x =5+1 2x =6 x = 2 x =3
  2. 15x10 =6x(x+2 ) +(x+3 ) 15x10 =6xx2x+3 15x10 =4x+1 15x4x =10+1 11x =11 x = 11 11 x =1
  3. (53x ) (4x+6 ) =(8x+11 ) (3x6 ) 53x+4x6 =8x+113x+6 x1 =5x+17 x5x =17+1 4x =18 x = x = 9 2
  4. 30x(x+6 ) +(5x+4 ) =(5x+6 ) +(8+3x ) 30x+x65x+4 =5x68+3x 26x2 =2x14 26x+2x =214 28x =12 x = x = 3 7
  5. 15x+(6x+5 ) 2(x+3 ) =(7x+23 ) x+(32x ) 15x6x+ 5 2 +x 3 =7x23x+32x 10x =10x20 10x+10x =20 20x =20 x = 20 20 x =1
  6. 3x+[5x(x+3 ) ] =8x+(5x9 ) 3x+[5xx3 ] =8x5x9 3x5xx3 =3x9 3x =3x9+3 3x3x =6 6x =6 x = 6 6 x =1
  7. 16x[3x(69x ) ] =30x+[(3x+2 ) (x+3 ) ] 16x[3x6+9x ] =30x+[3x2x3 ] 16x12x+6 =30x4x5 4x+6 =26x5 4x26x =65 22x =11 x = 11 x = 1 2
  8. x[5+3x{5x(6+x ) } ] =3 x[5+3x{5x6x } ] =3 x[5+3x4x+6 ] =3 x(11x ) =3 x11+x =3 2x =113 2x =8 x = 2 x =4
  9. 9x(5x+1 ) {2+8x(7x5 ) } +9x =0 18x5x1{2+8x7x+5 } =0 13x1(x+7 ) =0 13x1x7 =0 12x8 =0 12x =8 x = x = 2 3
  10. 71+[5x+(2x+3 ) ] =25[(3x+4 ) (4x+3 ) ] 71+[5x2x+3 ] =25[3x44x3 ] 717x+3 =25(7x7 ) 747x =25+7x+7 7x7x =3274 14x =42 x = 14 x =3
  11. {3x+8[15+6x(3x+2 ) (5x+4 ) ] 29 } =5 {3x+8[15+6x+3x25x4 ] 29 } =5 {3x+8[4x21 ] 29 } =5 {3x+ 8 4x+ 21 29 } =5 {x } =5 x =5