Math, asked by kumarvasu2006, 4 months ago

√ (x+7) + √ (x+2) = 15 / √ (x+ 7)

Answers

Answered by ashashik3
0

Answer:

x= 10.60

Step-by-step explanation:

√ (x+7) + √ (x+2) = 15 / √ (x+ 7

√7x + √2x = 15/√7x

√9x = 15/√7x

√9x-√7x = 15

√2x =15

x= 15/√2

x= 10.60

Answered by brilliantgirl1105
0

Answer:

 \sqrt{x + 7} \:   + \:  \sqrt{x + 2}  \:  =  \:   \frac{15}{ \sqrt{x + 7} }  \\

On squaring both sides,

( { \sqrt{x + 7} })^{2}   +   ( { \sqrt{x + 2} })^{2}    =   \frac{ {(15)}^{2} }{( { \sqrt{x + 7} })^{2} }  \\

⇒ \: (x + 7) +  (x  + 2)  =   \frac{225}{(x + 7)}

⇒ \: 2x + 9  =    \frac{225}{(x + 7)}

⇒ \: (2x + 9)(x + 7) = 225

⇒ \: x =   \frac{ - 9}{2} \:  \: and \:  \: x =  - 7

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