Vrijeme: 11:06

Lovegebra #2

Ivica misleći kako će prošli zadatak zapaliti vatru u Maricinoj duši nastavlja smišljati zadatke:

Zbroji sve vrijednosti p\in \mathbb{R} za koje jednadžba \frac{5x}{5x^2+px+45}+\frac{x+10}{x^2+5x}=\frac{2}{x} nema nijedno rješenje te to upiši kao odgovor na ovaj zadatak.

Thinking that the previous problem will ignite a fire in Marica’s soul, Ivica continues to devise new exercises:

Calculate the sum of all real numbers p \in \mathbb{R} for which the equation

\frac{5x}{5x^{2}+px+45}+\frac{x+10}{x^{2}+5x} = \frac{2}{x}

has no solution, and write that sum as the answer to this problem.