Question

Resolva pela forma resolutiva 6x²-x-5=0

Answer 1

Resposta:

$s(1,\frac{-5}{6})$

EXPLICAÇÃO:

a = 6

b = -1

c = -5

Δ = b² - 4.a.c

Δ = (-1)² - 4.6.(-5)

Δ = 1 + 120

Δ = 121

-b +- √Δ / 2.a

-1 +- √121 / 2.6

1 +- 11 / 12

x' = 1+11/12 = 12/12 = 1

x'' -1-11/12 = -10:2/12:2 = 5/6        (SIMPLIFICA O 10 E O 12 POR DOIS)

S = {1, -5/6}

Answer 2

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{6x^2-x-5=0 }$

$\mathsf{ a=6\quad b=-1\quad c=-5}$

$\mathsf{ \Delta=b^2-4\cdot a\cdot c}$

$\mathsf{\Delta=(-1)^2-4\cdot6\cdot(-5) }$

$\mathsf{ \Delta=1+ 120}$

$\mathsf{\Delta=121 }$

$\mathsf{ x=\dfrac{-b\pm\sqrt\Delta}{2\cdot a}}$

$\mathsf{x=\dfrac{-(-1)\pm\sqrt{121}}{2\cdot6} }$

$\mathsf{x=\dfrac{1\pm11}{12}\begin{cases}\sf x_1=\dfrac{1+11}{12}=\dfrac{12}{12}=1\\\\\sf x_2=\dfrac{1-11}{12}=-\dfrac{10}{12}=-\dfrac{5}{6}\end{cases} }$

$\boxed{\boxed{\mathsf{S=\left\{-\dfrac{5}{6};~1\right\}}} }$