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2 y 3 - Amolasmates

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z)<br />

⎛ 20<br />

⎞<br />

( x + 3)(<br />

x − 3)<br />

= ⎜ ⎟<br />

⎝ x ⎠<br />

2<br />

4 2<br />

α) ( x + 4)<br />

( x + 4)<br />

( x + 2x<br />

− 8)<br />

= 0<br />

β)<br />

γ)<br />

2<br />

x − 32 28<br />

= − 2<br />

4 x − 9<br />

2<br />

2 x −16<br />

= 2<br />

x − 9 72<br />

2<br />

δ) (2x + 3) −12x<br />

2<br />

= x − 2x<br />

2<br />

x + 2x<br />

ε)<br />

( x<br />

+ 1)(<br />

x − 1)<br />

−<br />

2<br />

( x<br />

2<br />

2<br />

+ 3)(<br />

x<br />

6<br />

2<br />

− 3)<br />

=<br />

1<br />

3<br />

ζ)<br />

(2x + 1)<br />

2<br />

- (x<br />

2<br />

+ 1)(x<br />

2<br />

- 1)<br />

= 3(x + 1) + 1<br />

x<br />

η)<br />

2 2<br />

2<br />

(x + 2)(x − 2) x (x - 2x)(x + 2x) -2<br />

− =<br />

4 2 4<br />

θ)<br />

2<br />

(3x<br />

25. Resolver las siguientes ecuaciones irracionales y comprobar la solución:<br />

a) x + 4 − 7 = 0<br />

2 b) x − 25 − x = 1<br />

2<br />

c) 169<br />

− x + 17 = x<br />

d) 2 x + 5 = x − 10<br />

e) x + 5x + 10 = 8<br />

f) x + 5x − 10 = 8<br />

g) 11= 2x<br />

-3<br />

x −1<br />

h) x + 13<br />

− x + 6 = 1<br />

i) x = 6 − x<br />

j) 3x + 1=<br />

1+<br />

2x −1<br />

k) 1= 2x<br />

− 3 4x<br />

− 7<br />

l) x − 2 x −1<br />

= 4<br />

m) 5x + 4 = 2x<br />

+ 1<br />

n) 2x + 1−<br />

3 = x −8<br />

o) x + 5 −1=<br />

x<br />

p) x − 2x −1<br />

= 2<br />

3<br />

q) x + 5 = 2<br />

r) x + 1 + x − 6 = 7<br />

s) 2x −13 x − 15 = 0<br />

t)<br />

2<br />

9(1 − x) = 3 1+<br />

(3x - 4) +<br />

x<br />

2<br />

−1)(x<br />

2<br />

+ 3) (2x<br />

2<br />

+ 1)(x<br />

2<br />

− 3)<br />

−<br />

= 4x<br />

2<br />

4<br />

3<br />

u) x − 2x −1<br />

= 1−<br />

x<br />

v) x - 7 - 3x = 1<br />

w) x -1<br />

+ 1=<br />

x − 2<br />

x) x + 5 + x = 5<br />

y) 3x + 1+<br />

1=<br />

x<br />

z) 2 x − 3x<br />

− 5 = 4<br />

α) x + 2 + x = 3x<br />

− 2<br />

β) 7 + 2x<br />

− 3 + x = 1<br />

γ) x + 7 −1<br />

= x<br />

δ) x + 5 + 2x<br />

+ 8 = 7<br />

2 ε) 2x + x − x − 2 = 0<br />

ζ) x + 4 + x −1<br />

= 3<br />

η) x + 23<br />

= 4x + 1+<br />

2<br />

θ) x − 2 = x − 8<br />

ι) 2 x − 3 − x + 7 = 4<br />

κ) 2x + 5 − x + 2 = 1<br />

λ) 2x + 3 = 1+ x + 1<br />

μ) 4x − 3 − x + 1 = 1<br />

ν) 2x + 3 − x − 2 = 2<br />

56

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