Question

resolva as seguintes equações incompletas do tipo ax²+bx=0,sendo U=R

A) x²-5x=0
B) 6x²=5x
C) 3x²-11x
​

Answer 1

Resposta:

a) x = 0 e x = 5

b) x = 0 e x = 5/6

c) x = 0 e x = 11/3

Explicação passo-a-passo:

A) x² - 5x = 0

x(x - 5) = 0

x = 0, 5

B) 6x² = 5x

6x² - 5x = 0

x(6x - 5) = 0

x = 0, 5/6

C) 3x² - 11x = 0

x(3x - 11) = 0

x = 0, 11/3

Answer 2

A) x^2 - 5x = 0

x = [ - (- 5) ± √( - 5 )^2 - 4 . 1 . 0 ] : 2 . 1

x = [ 5 ± √25 - 0 ] : 2

x = [ 5 ± √25 ] : 2

x1 = ( 5 + 5 ) : 2 -> 10 : 2 -> 5

x2 = ( 5 - 5 ) : 2 -> 0 : 2 -> 0

S = {0, 5 }

B) 6x^2 = 5x

6x^2 - 5x = 0

x = [ - ( - 5 ) ± √( - 5 )^2 - 4 . 6 . 0 ] : 2 . 6

x = [ 5 ± √25 - 0 ] : 12

x = [ 5 ± √25 ] : 12

x1 = ( 5 + 5 ) : 12 -> 10:12 -> 5/6

x2 = ( 5 - 5 ) : 12 -> 0/12 -> 0

S = {0, 12}

C) 3x²-11x = 0

x = [ - ( -11 ) ± √( - 11 )^2 - 4 . 3 . 0 ] : 2 . 3

x = [ 11 ± √121 - 0] : 6

x = [ 11 ± √121] : 6

x1 = ( 11 + 11 ) : 6 -> 22:6 -> 11/3

x2 = ( 11 - 11 ) : 6 -> 0:6 -> 0

S = {0, 11/3}