Question

URGENTE, Preciso desta equação para amanhã
15n² + 97n - 1414 = 0

Answer 1

$15n^2 + 97n - 1414 = 0$

Resolvendo por Bháskara:

$n = \dfrac{-b \pm \sqrt{b^2 -4*a*c}}{2*a}$

a=15, b=97, c=−1414
Δ=b²−4ac
Δ=(97)²−4*15*−1414
Δ=9409+84840
Δ=94249

$n = \dfrac{-b \pm \sqrt{\triangle}}{2*a}$

$n = \dfrac{-97 \pm \sqrt{94249}}{2*15} \\ \\ \\ n = \dfrac{-97 \pm 307}{30} \\ \\ \\ n' = \dfrac{-97 + 307}{30} \\ \\ \\ n' = \dfrac{210}{30} \\ \\ \\ n' = 7 \\ \\ \\ n'' = \dfrac{-97 - 307}{30} \\ \\ \\ n'' =-\dfrac{404}{30} \\ \\ \\ n'' =-\dfrac{202}{15}$


S = { $7, \ - \dfrac{202}{15}$ }