Question

Encontre as raizes das equações:
2m²-m-6=0
-x²+3x+10=0
y²+8y-4=0
9y²-12y+4=0
5x²-3x+5=0

Answer 1

2m²-m-6 = 0
Δ= (-1)² - 4*2*(-6)
Δ=49
m'= 1+7/4 = 2
m"= 1-7/4 = 3/2

-x²+3x+10=0
Δ=9+40
Δ= 49
x'= -3+7/-2 = -2
x" = -3-7/-2 = 5

y²+8y-4=0
Δ= 64+16
Δ= 4√5
y' = -8+4√5/2
y" = -8-4√5/2

5x²-3x+5=0
Δ=9-100
Δ= -91
(raiz nao existente no conjunto dos reais)