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Determinati x€ R astfel incat:

a)3/x=x/3

b)2x/3=24/x

c)2/3 ori x=2supra 3 ori x

d)(3x^2)=400

e)(x+1)^2=64

f)2x^2+1/8=0

g)x^4=625

h)(x-2)^2=3

i)x^2+6x+9=1

j)x^2+6x+8=0

Va rog, imi trebuie urgent!


Răspuns :

[tex] \frac{3}{x} = \frac{x}{3} \\ 3 \times 3 = x \times x \\ 9 = {x}^{2} \\ x = \sqrt{9} \\ x = 3[/tex]

[tex] \frac{2x}{3} = \frac{24}{x} \\ 2x \times x = 24 \times 3 \\ 2 {x}^{2} = 72 \\ {x}^{2} = 72 \div 2 \\ {x}^{2} = 36 \\ x = \sqrt{36 } \\ x = 6[/tex]