Question

calcule as soluções de cada equação abaixo: A)6x²+x-1=0 B)6x²-13x+6=0 C)5x²-11x+2=0 D)x²-2x+1=0​​

Answer 1

Resposta:

A) X1 = 1/3  e X2 = ½

B) x1= 3/2 e x2= 2/3

C) x1= 1/5 e x2 = 2

D) x1 = x2 = 1

Explicação passo a passo:

A) 6x²+x-1=0

1-4(6)(-1) = 25

X1= (-1+5)/12 = 4/12 = 1/3

X2 = (1+5)/12 = 6/12 = ½

B) 6x²-13x+6=0

169-4(6)(6) = 169 - 144 = 25

x1= (13 + 5) / 12 = 18/12 = 3/2

x2 = (13-5)/12 = 8/12 = 2/3

C) 5x²-11x+2=0

121 - 4(5)(2) = 121 - 40 = 81

x1= (11-9)/10 = 2/10 = 1/5

x2 = (11+9)/10 = 20/10 = 2

D)x²-2x+1=0​​

4 - 4(1)(1) = 0

x1 = x2 = 2/2 = 1