Math, asked by karylserwelas, 5 months ago

B. Solve for x:
1/x + 1/x+5= 1/10​

Answers

Answered by pukultanvi4444
88

Answer:

x=−20/49

Step-by-step explanation:

1/x+1/x+5=1/10

Simplifies to:

5x+2/x=1/10

Let's solve your equation step-by-step.

5x+2/x=1/10

Step 1: Cross-multiply.

5x+2/x=1/10

(5x+2)*(10)=1*x

50x+20=x

Step 2: Subtract x from both sides.

50x+20−x=x−x

49x+20=0

Step 3: Subtract 20 from both sides.

49x+20−20=0−20

49x=−20

Step 4: Divide both sides by 49.

49x/49=−20/49

x=−20/49

plz plz plz follow me if the answer helpful to you

Answered by Swarup1998
3

Given:

\dfrac{1}{x}+\dfrac{1}{x+5}=\dfrac{1}{10}

To find:

The value of x

Step-by-step explanation:

Here \dfrac{1}{x}+\dfrac{1}{x+5}=\dfrac{1}{10}, where x\neq 0,-5

\Rightarrow \dfrac{x+5+x}{x(x+5)}=\dfrac{1}{10}

\Rightarrow \dfrac{2x+5}{x^{2}+5x}=\dfrac{1}{10}

\Rightarrow 20x+50=x^{2}+5x

\Rightarrow x^{2}+5x-20x-50=0

\Rightarrow x^{2}-15x-50=0

Using quadratic formula, we get

x=\dfrac{15\pm\sqrt{225+200}}{2}

=\dfrac{15\pm\sqrt{425}}{2}

=\dfrac{15\pm 5\sqrt{17}}{2}

Final answer: x=\dfrac{15\pm 5\sqrt{17}}{2}

The required solution is

\quad\quad \boxed{x=\dfrac{15\pm 5\sqrt{17}}{2}}

Read more on Brainly.in

Solve for x and y :

x/a + y/b = 2

ax - by = a^2 - b^2

- https://brainly.in/question/3084787

if x-1/x=7 find value of x to the power 4 +1/x to the power 4

- https://brainly.in/question/2636571

Similar questions