Question

24x² -2x -15 bhascara ? 

Answer 1

$24x^2 \ - \ 2x \ - \ 15 \ = \ 0 \\ \\ a \ = 24 \\ b \ = \ - \ 2 \\ c \ = \ - \ 15 \\ \\ \Delta \ = \ b^2 \ - \ 4ac$

$\Delta \ = \ (- \ 2)^2 \ - \ 4 \ * \ 24 \ * \ (- \ 15) \\ \\ \Delta \ = \ 4 \ + \ 1440 \\ \Delta \ = \ 1444 \\ \\ x \ = \frac{- \ b \ \pm \ \sqrt\ \Delta}{2a}$

$x \ = \ \frac{- \ (- \ 2) \ \pm \ \sqrt\ \ 1444}{2 \ * \ 24} \\ \\ x \ = \ \frac{2 \ \pm \ 38}{48} \\ \\ x' \ = \ (2 \ + \ 38) \ \div \ 48 \\ \\ x' \ = \ \frac{40}{48} \ ou \ \frac{5}{6} \\ \\ x" \ = \ (- \ 2 \ - \ 38) \ \div \ 48$

$x" \ = \ - \ \frac{36}{48} \ ou \ - \ \frac{3}{4} \\ \\ Resposta: \ \{\frac{5}{6}; \ - \ \frac{3}{4}\}$