Question

1. Resolva as equações a) 3x² - 5x+2=0 b) x²+x-1=0​

Answer 1

Explicação passo-a-passo:

a)3x²-5x+2=0

Formulas: Δ = b² - 4.a.c

x= -b ± √Δ / 2a

A=3 B=-5 C=2

Δ = b² - 4.a.c

Δ = (-5)² - 4.3.2

Δ = 25 - 24

Δ = 1

x= -b ± √Δ / 2a

x= -(-5) ± √1 / 2.3

x= =5± 1 / 6

x' = 5+1/6

x' = 6/6

x' = 1

x'' = 5 - 1/6

x'' = 4/6 (simplifica)

x'' = 2/3

A reposta será x' = 1 e x'' = 2/3

b) x²+x-1=0

∆ = b²- 4.a.c

∆ = 1² -4. (1) . (-1)

∆= 1+4

∆= 5

x= -b ± √Δ / 2a

x= -1± √5 / 2.1

x= - 1 ±√5 / 2

x' = - 1 + √5 / 2

x" = - 1 - √5 / 2

s= { -1 + √5 /2 , - 1 - √5 / 2 }