X² - 7 / 6x + 1 / 3 = 0 formula general?

Question

X² - 7 / 6x + 1 / 3 = 0 formula general.

Alexgg2 · Accepted Answer

X2 - 7 / 6x + 1 / 3 = 0

a = 1

b = - 7 / 6

c = 1 / 3

Fórmula general :

x = - b + - √b2 - 4ac / 2a

x = - ( - 7 / 6) + - √( - 7 / 6)2 - 4(1)(1 / 3) / 2(1)

x = 7 / 6 + - √(49 / 36 - 4 / 3) / 2

x = 7 / 6 + - √(49 - 48 / 36 ) / 2

x = 7 / 6 + - √(1 / 36 ) / 2

x = 7 / 6 + - (1 / 6) / 2

Dos soluciones ( + , - )

x = 7 / 6 + (1 / 6) / 2

x = (7 + 1 / 6) / 2

x = (8 / 6) / 2

x = (4 / 3) / 2

x = 4 / 6

x = 2 / 3

x = 7 / 6 - (1 / 6) / 2

x = (7 - 1 / 6) / 2

x = (6 / 6) / 2

x = 1 / 2.

Marton1225 · Answer

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