Question

Resolva : 3x² -7x+4=0

Answer 1

Resposta:

S={( 4/3 , 1)}

Explicação passo-a-passo:

3x² -7x+4=0

a=3

b=-7

c=4

∆=b²-4.a.c

∆=(-7)²-4.(3).(4)

∆=49-48

∆=1

x'=[-(-7)+√1]/2.(3)

x'=[7+1]/6

x'=8/6

x'=[8÷2]/[6÷2]

x'=4/3

x"=[-(-7)-√1]/2.(3)

x"=[7-1]/6

x"=6/6

x"=1

Answer 2

Resposta: S{4/3  e 1}

Explicação passo-a-passo:

3x² -7x + 4 = 0

a=3

b = -7

c = 4

Δ = b² - 4 . a .c

Δ = (-7)² - 4 . 3 .4

Δ = 49 - 12 .4

Δ = 49 - 48

Δ = 1

$\mathtt{\dfrac{-b+-~\sqrt{\Delta}}{2~.~a}~~=~~\mathtt{\dfrac{-(-7)+-~\sqrt{1}}{2~.~3}}~~=~~\dfrac{7+- 1}{6}} \\ \\ \\ \mathtt{x' = \dfrac{7+1}{6} ~~=~~ \dfrac{8}{6}~~(\div2)~~=~~\dfrac{4}{3}}$

$\mathtt{x''= \dfrac{7-1}{6}~~=~~\dfrac{6}{6}~~=~~1}$