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01c ecuaciones-bicuadradas-ejercicios
1.
ECUACIONES 1º BCT Luisa
Muñoz 1 ECUACIONES BICUADRADAS ECUACIÓN SOLUCIÓN ECUACIÓN SOLUCIÓN 1) x4 – 25x2 + 144 = 0 ( x = ± 4, ± 3 ) 2) 4x4 + 19x2 – 5 = 0 ( x = ± 1/2) 3) x4 – 29x2 + 100 = 0 (x = ±5,±2 ) 4) 9x4 – 40x2 +16 = 0 2 x = 2 , 3 ± ± 5) x4 – 13x2 + 36 = 0 ( x = ± 2, ± 3 ) 6) x4 + 4x2 + 3 = 0 ( No tiene ) 7) 0=4+x5+x 24 (No tiene) 8) 0=20x3x2 24 −− (x = ±2) 9) 4x4 – 37x2 + 9 = 0 (x = ±3,x = ± 0´5) 10) x4 – 8x2 – 9 = 0 ( x = ± 3 ) 11) x4 – 24x2 – 25 = 0 (x = ±5 ) 12) x4 – 5x2 + 4 = 0 (x = ±2, x = ± 1) 13) 2x4 – x2 + 1 = 0 ( no tiene ) 14) 2x4 + 9x2 = 68 ( x = ±2 ) 15) x4 + 3x2 – 10 = 0 ( )2x ±= 16) 0=1x13x36 24 +− ±± 3 1 , 2 1 =x 17) 9x4 + 16 = 40x2 ±±= 3 2 ,2x 18) 4x4 – 5x2 + 1 = 0 ±±= 2 1 ,1x 19) x4 – 5x2 – 36 = 0 ( x = ± 3 ) 20) x4 + x2 + 1 = 0 ( no tiene) 21) x4 – 10x2 + 9 = 0 (x = ±3, x = ±1 ) 22) x4 – 16 = 0 (x = ±2 ) 23) x4 – 9x2 = 0 ( x = 0, x = ±3 ) 24) 9x4 + 5x2 – 4 = 0 ±= 3 2 x 25) 3x4 – 26x2 – 9 = 0 (x =±3 ) 26) 4x4 – 17x2 + 4 = 0 (x = ±2,x = ±0´5 ) 27) x4 + 2x2 – 3 = 0 ( x = ± 1) 28) 2x4 – x2 – 1 = 0 ( x = ± 1) 29) x4 – 3x2 + 2 = 0 ( )2x,1x ±=±= 30) 4x4 – 13x2 + 9 = 0 3 x ,x 1 2 =± =± 31) x4 – 7x2 +12 = 0 ( )x 3, 2= ± ± 32) 3x4 + x2 – 4 = 0 ( x = ± 1 ) 33) 8x4 – x2 – 7 = 0 ( x = ± 1) 34) 5x4 – 6x2 – 351 = 0 ( x = ± 3) 35) ( x2 – 4)( x2 + 1 ) = 0 ( x = ± 2 ) 36) (x2 – 5) (x2 –3 ) = 0 ( )5,3x ±±= 37) (x2 – 3)( 9x2 – 25) = 0 ±±= 3 5 ,3x 38) (x2 – 1)(4x2 – 9 ) = 0 ±±= 2 3 ,1x 39) 4x=1+ 20 )9(xx 2 22 − − ( x = ±5, ±2 ) 40) 2 2 10 x + = 7 x ( )x 2 , 5= ± ± 41) 2x x2 = 2x x 2 2 + − + ( x = ±1) 42) 6x8= 4x2 8x12 2 2 2 + + + No tiene 43) 72 16x= 9x 2 2 2 − − (x = ±5, 0 ) 44) 9x 28 = 4 32x 2 2 − −− (x =±5, ±4 ) 45) 2 2 x 225 x34 =− ( x = ±5, ±3 ) 46) 1x 12 x 2 2 + = ( )3x ±=
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