me pueden ayudar a despejar “x" por favor [tex] \sqrt{ \frac{x - 3}{x + 2} } = \sqrt{ \frac{x + 5}{x + 1} } [/tex]​

me pueden ayudar a despejar “x" por favor
[tex] \sqrt{ \frac{x - 3}{x + 2} } = \sqrt{ \frac{x + 5}{x + 1} } [/tex]
​

Respuesta:

[tex]\mathbf{(\sqrt{\frac{x-3}{x+2} })^2 =(\sqrt{\frac{x+5}{x+1} })^2\ \Rightarrow \frac{x-3}{x+2}=\frac{x+5}{x+1}\ \Rightarrow (x-3)(x+1)=(x+5)(x+2) } }\\\\\mathbf{\Rightarrow x^2+x-3x-3=x^2+2x+5x+10\ \Rightarrow x^2-2x-3=x^2+7x+10 }\\\\\mathbf{\Rightarrow -2x-7x=10+3\ \Rightarrow -9x=13\ \Rightarrow x=-\frac{13}{9} }[/tex]

Pero si reemplazamos el valor de x en ambos radicales, se obtiene la raíz cuadrada de -8, lo cual no es posible en el campo de los números reales, por lo tanto no hay solución.

Comments

Post a Comment

Popular posts from this blog

Bunga Cempaka Merah Ini

Image
Bunga anggota family Magnoliaceae ini terbilang unik dengan warna merah muda yang tumbuh di ujung cabang maupun ranting tanaman. meskipun ukuran bunganya mungil, tidak lebih dari 5 sampai 7 cm, namun petal-petalannya bersusun-susun sehingga cempaka merah milik Nanang tersebut lebih seperti bunga lotus. Aroma yang dihasilkan dari bunga bacin harum yang khas dan tajam. Namun demikian, proses pemekaran bunga tersebut terbilang singkat. “Hanya dua jam, sesudah itu perlahan perlahan layu dan berbentuk sama dengan bunga cempaka kebanyakan,” Ungkap Nanang menceritakan bunga kesayangannya tersebut. Bunga Cempaka Merah Harga Selangit Bunga cempaka milik Nanang sungguh jarang berbunga. Namun keistimewaan dari bunga cempaka milik Nanang tersebut yaitu bunganya yang berwarna merah muda, padahal kebanyakan bunga cempaka berwarna putih. Meskipun bentuk bunga tak seindah flora hias yang lain, tetapi cempaka merah telanjur menjadi buruan para pengumpul bunga alasannya adalah kelangkaannya. Harga bun...
Read more

Make They Operate Alongside Vaulted/Cathedral Ceilings?

Image
Vaulted ceilings are no doubtfulness a super trend that has made its mode into many homes, adding meridian and texture to a infinite. However, the summit of these ceilings changes the game a scrap when it comes to installing ceiling fans. Let’s wait at if ceiling fans can live installed on vaulted/cathedral ceilings, if as well as/or why they are necessary, in addition to their effectiveness inward such locations. Ceiling fans tin function with vaulted/cathedral ceilings. They are beneficial inward preventing stale air from gathering inward the vertical space too to preventing oestrus loss to this infinite inward winter. The fan volition take to hang low enough to be effective, however, as well as volition probably have to be oversized in price of CFM. Can Ceiling Fans Be Installed on Vaulted Ceilings? Installing a ceiling fan on a vaulted ceiling is hard just possible. In addition to all of the regular considerations, y'all volition accept a harder fourth dimension obtaining the ...
Read more

Penjelasan Lengkap Can I Transfer Two Credit Cards To One Ideas

Image
Penjelasan Lengkap Can I Transfer Two Credit Cards To One Ideas . Web advantages of a balance transfer credit card: You can find 0% apr balance transfer offers. How to Save Thousands With a Credit Card Balance Transfer from www.makeuseof.com For example, if you have one credit card with a $4,000 credit line and no balance and a. Web if each of those credit cards has a $5,000 credit limit and a $95 annual fee, your total credit limit is $15,000 while the annual fees amount to $285. Web a balance transfer credit card allows you to move debt from your existing credit card to a new credit card.
Read more