Question

quais sao as raizes da equacao ]x^{2} -7x+6=0

Answer 1

Resposta:

x²-7x+6 = 0

a = 1, b = -7, c = 6

Δ = b²-4ac

Δ = (-7)²-4.1.(6)

Δ = 49-24

Δ = 25

x = -b+√Δ

         2.a

x = 7+5

       2

x' = 7+5

        2

x' = 12

       2

x" = 7-5

        2

x" = 2

      2

x" = 1

As raízes da equação são 6 e 1.

Boa sorte!

Answer 2

Explicação passo-a-passo:

$\sf x^2-7x+6=0$

$\sf \Delta=(-7)^2-4\cdot1\cdot6$

$\sf \Delta=49-24$

$\sf \Delta=25$

$\sf x=\dfrac{-(-7)\pm\sqrt{25}}{2\cdot1}=\dfrac{7\pm5}{2}$

$\sf x'=\dfrac{7+5}{2}~\Rightarrow~x'=\dfrac{12}{2}~\Rightarrow~\red{x'=6}$

$\sf x"=\dfrac{7-5}{2}~\Rightarrow~x"=\dfrac{2}{2}~\Rightarrow~\red{x"=1}$