## anonymous 5 years ago The sum of a number and 6 times its reciprocal is 7. Find the number.

1. anonymous

2. anonymous

$x+\frac{6}{x}=7$

3. anonymous

6 and 1

4. anonymous

x + 6/x=7 x^2-7x+6=0 x=(-b+sqrt. b^2-4ac)/2a and the other value is (-b-sq.rt b^2-4ac)/2a

5. anonymous

this is sri dharacharya's method.hope this solve's ur problem.this is a direct method.

6. anonymous

$x+\frac{6}{x}=7$ $x^2+6=7x$ $x^-7x+6=0$ $(x-6)(x-1)=0$ $x=6$ or $x=1$

7. anonymous

or by inspection