Question

x/5+x = 2(5/5+x)
please find x​

Answer 1

Answer:

x/5 +x = 2 (5/5 +x)

6x/5 = 2 ( 1+x)

6x/5 = 2 + 2x

6x = 10 + 10x

4x = 10

x = 10/4

x = 5/2

hope it helps u

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Answer 2

Given :

An equation $\frac{x}{5} +x=2(\frac{5}{5+x} )$.

To find :

The value of x must be found.

Step-by-step explanation:

• The value of x can be found by following these steps.
• Remove the brackets.

      $\frac{x}{5} +x=\frac{10}{5+x}$

• Take LCM for the left side of the equation.

       $\frac{x+5x}{5} =\frac{10}{5+x}$

• Cross multiply the values.

       $(x+5x)(5+x)=10(5)$

• Remove the brackets.

      $5x+x^{2} +25x+5x^{2} =50$

• Sum it all up.

       $30x+6x^{2} =50$

• Take the numerical to the left side.

       $6x^{2} +30x-50=0$

• After doing completion of square.

       $-b$ ± $\frac{\sqrt{b^{2} -4ac}}{2a}$

• a,b and c can be found.

       $a=6,b=30,c=-50$

• Substituting the values.

       $-30$ ± $\frac{\sqrt{(-30)^{2} -4(6)(-50)} }{2(6)}$

• Remove the brackets.

         $-30$ ± $\frac{\sqrt{900+1200} }{12}$

• Sum it all up.

        $-30$ ± $\frac{\sqrt{2100}}{12}$

• Then, take the root of given number.

       $-30$ ± $\frac{45.82}{12}$

• Divide the number.

       $-30$ ± $3.81$

• Sum it all up.

       $-30-3.81,-30+3.81$

       $-33.81,$ $-26.19$

Final answer :

The two values of x are $-33.81,-26.19$