ecuaciones bicuadradas 4ESO

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 ±=