Basic algebra square numbers

Question

Hello I'm new to algebra, I can't solve this:

$x+\sqrt{x}=13$

$x+\frac{1}{\sqrt{x}}=?$

can you help Thank you.

Is the question asking how to find $x+\frac{1}{\sqrt{x}}$ without computing $\sqrt{x}$? — Did, Dec 22 '16 at 22:11

score 1 · Answer 1 · answered Dec 22 '16 at 14:47

1

rewrite your equation in the form $$\sqrt{x}=13-x$$ after squaring we get $$x^2-27x+169=0$$ can you proceed?

answered Dec 22 '16 at 14:47

5

I guess the question is how to find $x+\frac{1}{\sqrt{x}}$ without finding $x$. – lhf Dec 22 '16 at 14:56
... but I guess it can't be done because the answer is $\frac{170-12\sqrt x}{13}$. – lhf Dec 22 '16 at 15:10
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but your term containes the variable $x$? – Dr. Sonnhard Graubner Dec 22 '16 at 15:12

1 Answers1