Question

√ (x+7) + √ (x+2) = 15 / √ (x+ 7)

Answer 1

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

Answer 2

Answer:

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

On squaring both sides,

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

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

$⇒ \: 2x + 9 = \frac{225}{(x + 7)}$

$⇒ \: (2x + 9)(x + 7) = 225$

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