Question

Qual a resposta de x²+x-6=0

Answer 1

x²+x-6=0
a=1; b=1; c=-6
∆=b²-4ac→ ∆=1²-4.1.(-6)⇒ ∆=1+24⇒ ∆=25
x=-b±√∆ / 2.a→ x=-1± √25 / 2.1→ x=-1±5 / 2
x'=-1+5/2⇒ x'=4/2⇒ x'=2
x''=-1-5/2⇒ x''=-6/2⇒ x''=-3
S={-3 , 2}

Answer 2

(Fórmula de Báskara):

a = 1
b = 1
c = -6

x = $- b +- \sqrt{b ^{2} - 4 ac }/ 2a$

x = $-1 +- \sqrt{(1) ^{2} - 4*1*(-6) } / 2*1$

x = $-1 +- \sqrt{25} / 2$

x = $-1 +- 5 / 2$

x' = $-1 + 5 / 2$ = 2

x'' = $- 1 - 5 / 2$ = -3