Question

calcule as raizes das equacoes: a) y²+15y-16=0 b) w²-25w+144+0

Answer 1

Para achar as raízes usamos Bhaskara:

Δ=b²-4.a.c

(-b±√Δ)/2.a

a) y²+15y-16

Δ=15²-4.1.-16

Δ=225+64

Δ=289

$x'=\frac{-15+17}{2.1}=\frac{2}{2}=1\\ x''=\frac{-15-17}{2.1}=\frac{-32}{2}=-16$

b)w²-25w+144

Δ=-25²-4.1.144

Δ=625-576

Δ=49

$x'=\frac{-(-25)+7}{2.1}=\frac{25+7}{2}=\frac{32}{2}=16\\x''=\frac{-(-25)-7}{2.1}=\frac{25-7}{2}=\frac{18}{2}=9$

Espero ter ajudado!