Math, asked by shashank3554, 9 months ago

Solve for x please guys tell it quickly
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Answered by senboni123456
1

Answer:

x= -a or x= -b/2

Step-by-step explanation:

Given,

 \frac{1}{2a + b + 2x}  =  \frac{1}{2a}  +  \frac{1}{b}  +   \frac{1}{2x}

Now, we have,

 \frac{1}{2a + b + 2x}  -  \frac{1}{2x}  =  \frac{1}{2a}  +  \frac{1}{b}

 =  \frac{2x - (2a + b + 2x)}{(2a + b + 2x)2x}  =  \frac{2a + b}{2ab}

 =  \frac{ - (2a + b)}{2x(2a + b + 2x)}  =  \frac{(2a + b)}{2ab}

Cancelling (2a+b) in both sides and cross multiplying, we get,

 =  - 2ab = 2x(2a + b + 2x)

  = - ab  = 2ax + bx + 2x^{2}

 = 2 {x}^{2} + 2ax + ab + bx = 0

 = 2x(x + a) + b(x + a) = 0

 = (x + a)(2x + b) = 0

 = x =  - a \:  \: or \:  \: x =  - \frac{  b}{2}

Hope, this help you!

Answered by rekhashar23
0

chal aa garena free fire kheltha ha

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