Question

\(\dfrac{3}{5}=\dfrac{1}{x}+\dfrac{2}{3}-\dfrac{x}{1}\)

Answer 1

`3/5=1/x=2/3-x/1`         `ĐK: x \ne 0`

`<=>[9x]/[15x]=[15+10x-15x^2]/[15x]`

  `=>9x=15+10x-15x^2`

`<=>15x^2-x-15=0`

Ptr có:`\Delta=(-1)^2-4.15.(-15)=901 > 0`

`=>` Ptr có `2` nghiệm pb

`x_1=[-b+\sqrt{\Delta}]/[2a]=[1+\sqrt{901}]/30`  (t/m)

`x_2=[-b-\sqrt{\Delta}]/[2a]=[1-\sqrt{901}]/30`   (t/m)

Vậy `S={[1+-\sqrt{901}]/30}`

 

Answer 2

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