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a) x-6/x-5=5/2
b) x(4x-3)(x^2-5)=0
c) 2-x/-5=3/x


Odpowiedź :

Odpowiedź:

a)

[tex]\frac{x-6}{x-5} =\frac{5}{2}\\ 2x -12 = 5x - 25\\3x = 13 \\x = \frac{13}{3}[/tex]

b)

[tex]x(4x-3)(x^2-5)=0[/tex]

[tex]x =0; x =\frac{3}{4} ; x = \sqrt{5} ; x = -\sqrt{5}[/tex]

c)

[tex]\frac{2-x}{-5} = \frac{3}{x} \\-x^2 +2x = -15 \\-x^2 +2x + 15 = 0[/tex]

Δ = 4 +60 = 64

[tex]x_{1} = \frac{-2-8}{-2} = 5\\x_{2} = \frac{-2+8}{-2} = -3\\[/tex]