Question

Solve this pls no spamming

Answer 1

Answer: The answer is (C) 9.

Step-by-step explanation:

You can find the answer by trial and error method.

9 is the correct answer because if you substitute it in place of x, you will get the difference 2..

Hope you like it :)

Answer 2

Answer:

Hi there, here we have,

$\sqrt{x+16}-\sqrt{x} = 2$

So square on both sides,

=>  $(\sqrt{x+16}-\sqrt{x})^2=2^2$

=>  $(\sqrt{x+16})^2-2*(\sqrt{x+16})*(\sqrt{x})+(\sqrt{x})^2=4$

=>  $x+16-2(\sqrt{x(x+16)}+x=4$

=>  $2x+16-2(\sqrt{x(x+16)}=4$

=>  $-2(\sqrt{x(x+16)}=4-16-2x$

=>  $-2(\sqrt{x(x+16)}=-(2x+12)$

=>  $2(\sqrt{x(x+16)}=2x+12$

=>  $\sqrt{x(x+16)}=\frac{2x+12}{2}$

=>  $\sqrt{x(x+16)}=x+6$

Now square on both sides,

=>  $(\sqrt{x(x+16)})^2=(x+6)^2$

=>  $x(x+16) = x^2+12x+36$

=>  $x^2+16x = x^2+12x+36$

=>  $16x-12x = x^2-x^2+36$

=>  $4x = 36$

=>  $x = 9$

So option (C) is the correct option.

Hope this helps you.

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All the best.