ecuaciones-bicuadradas-resueltos

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ECUACIONES 
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 + x 5 + x 24 (No tiene) 8) 0 = 20 x3x2 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 = 1 x13 x36 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 3x ,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) 4 x= 1+ 
20
)9(x x 2
22
−− ( x = ±5, ±2 ) 40) 2 2
10
x + = 7
x
( )x 2 , 5= ± ±
41) 
2 x
x 2
 = 
2x 
x
2
2
+
−
+
( x = ±1) 42) 6x8= 
4x2
8x12 2
2
2
+
+
+
 No tiene 
43) 
72
16 x = 
9 x
2 2
2
−
−
(x = ±5, 0 ) 44) 
9 x
28
 = 
4
32x
2
2
−
−−
(x =±5, ±4 ) 
45) 
2
2
x
225
x34 =− ( x = ±5, ±3 ) 46) 
1x
12
x
2
2
+
= ( )3x ±=