Question

36ײ-8×-5=0
ayudenme a resolverlo porfa​

Answer 1

Recordemos que la fórmula general se usa para determinar las raíces de una ecuación cuadrática(ax² + bx + c = 0) y se define como:

$\overset{\vphantom{\Big|}\boldsymbol{\sf{F\acute{o}rmula\ general}}}{\boxed{\sf{x_{1,2}=\dfrac{-b\pm \sqrt{\Delta}}{2a}}}}\quad \sf{Siendo} \quad\kern-20pt\sf{\underset{Discriminante}{\underset{\downarrow}{\Delta}}\kern-15pt=b^2-4ac}\left \{\begin{array}{l}\sf{Si\ \Delta < 0:Ra\acute{i}ces\ complejas\ conjugadas}\\\sf{Si\ \Delta=0:Ra\acute{i}ces\ iguales}\\\sf{Si\ \Delta > 0:Ra\acute{i}ces\ reales \ y\ diferentes}\end{array} \right.$

Entonces extraemos los coeficientes:

$\begin{array}{c}\sf{\underset{\displaystyle\underset{\,\,a}{\,\,\downarrow}}{\ 36}x^2\underset{\displaystyle\underset{\,\,b}{\,\,\downarrow}}{-\ 8}x\underset{\displaystyle\underset{\,\,c}{\,\,\downarrow}}{-\ 5}=0}\\\\\begin{array}{ccccccccccccccccccc}\boldsymbol{\bigcirc \kern-8pt \triangleright}\quad\sf{a=36}&&&&&&&&&\boldsymbol{\bigcirc \kern-8pt \triangleright}\quad\sf{b=-8}&&&&&&&&&\boldsymbol{\bigcirc \kern-8pt \triangleright}\quad\sf{c=-5}\end{array}\end{array}$

Hallemos la discriminante(Δ)

                                       $\begin{array}{c}\sf{\Delta =b^2-4ac}\\\\\sf{\Delta =\left(-8\right)^2-4\left(36\right)\left(-5\right)}\\\\\sf{\Delta =64+720}\\\\\boxed{\boxed{\boldsymbol{\sf{\Delta =784}}}}\end{array}$

Vemos que Δ > 0, entonces concluimos que la ecuación tendrá raíces reales y diferentes, para hallarlas reemplazamos la discriminante en la fórmula general.

                                         $\begin{array}{c}\sf{x_{1,2}=\dfrac{-b\pm\sqrt{\Delta}}{2a}}\\\\\sf{x_{1,2}=\dfrac{-\left(-8\right)\pm\sqrt{\left(784\right)}}{2\left(36\right)}}\\\\\sf{x_{1,2}=\dfrac{8\pm\left(28\right)}{72}}\\\end{array}$

                         $\begin{array}{cccccccc}\begin{array}{c}\sf{x_{1}=\dfrac{8+\left(28\right)}{72}}\\\\\sf{x_{1}=\dfrac{36}{72}}\\\\\sf{x_{1}=\dfrac{1}{2}}\\\\\boxed{\boldsymbol{\sf{x_{1}=0.5}}}\end{array}&&&&&&&\begin{array}{c}\sf{x_{2}=\dfrac{8-\left(28\right)}{72}}\\\\\sf{x_{2}=\dfrac{-20}{72}}\\\\\sf{x_{2}=-\dfrac{5}{18}}\\\\\boxed{\boldsymbol{\sf{x_{2}=-0.278}}}\end{array}\end{array}$

Rpta. La raíces de la ecuación cuadrática son: 1/2 y -5/18.

⚠ La gráfica en la imagen solo es para comprobar nuestros resultados.

✠ Tareas similares

    ➫ https://brainly.lat/tarea/19356545

    ➫ https://brainly.lat/tarea/20302726

                                              $\boxed{\sf{{R}}\quad\raisebox{10pt}{ \sf{\red{O}} }\!\!\!\!\raisebox{-10pt}{ \sf{\red{O}} }\quad\raisebox{15pt}{ \sf{{G}} }\!\!\!\!\raisebox{-15pt}{ \sf{{G}} }\quad\raisebox{15pt}{ \sf{\red{H}} }\!\!\!\!\raisebox{-15pt}{ \sf{\red{H}} }\quad\raisebox{10pt}{ \sf{{E}} }\!\!\!\!\raisebox{-10pt}{ \sf{{E}} }\quad\sf{\red{R}}}\hspace{-64.5pt}\rule{10pt}{.2ex}\:\rule{3pt}{1ex}\rule{3pt}{1.5ex}\rule{3pt}{2ex}\rule{3pt}{1.5ex}\rule{3pt}{1ex}\:\rule{10pt}{.2ex}$