Question

resolva essa equação do 2° grau e depois substitua os valores encontrados na equação
x^2 - 3x - 3/2 = 0

Answer 1

Resposta:

Explicação passo-a-passo:

x^2 - 3x - 3/2 = 0

a = 1; b = - 3; c = - 3/2

/\= b^2 - 4ac

/\= (-3)^2 - 4.1.(-3/2)

/\= 9 + 12/2

/\= 9 + 6

/\= 15

x = [- b +/- \/ /\]/2a

x = [ -(-3) +/- \/15] /2.1

x = [3 +/- \/15]/2

x' = (3+\/15)/2

x" = (3-\/15]/2

x^2 - 3x - 3/2 = 0

(3/2+\/15/2)^2 - 3.(3/2+\/15/2) - 3/2

(3/2)^2 + 2.3/2.\/15/2 + (\/15/2)^2 -9/2 - 3\/15/2 - 3/2

9/4 + 3\/15/2 + 15/4 - 12/2 - 3\/15/2

9/4+15/4 - 6 + 3\/15/2 - 3\/15/2

24/4 - 6 + 0

6 - 6 + 0

0 + 0

0

x^2 - 3x - 3/2 = 0

(3/2-\/15/2)^2 - 3.(3/2-\/15/2) - 3/2

(3/2)^2 - 2.3/2.\/15/2 + (\/15/2)^2 -9/2 + 3\/15/2 - 3/2

9/4 - 3\/15/2 + 15/4 - 9/2 + 3\/15/2 -3/2

9/4+15/4 - 9/2 - 3/2

24/4 - 12/2

6-6

0