## P->Q Group Title 1/x^2 + 1/x =6 solve for x one year ago one year ago

1. petewe Group Title

make the left side into 1 equation.

2. asnaseer Group Title

multiply both sides by$$x^2$$ and solve the resulting quadratic equation.

3. P->Q Group Title

$x^2/ x^2 + x^2/x^2 = 6x^2$

4. P->Q Group Title

2x^2 = 6x^2

5. asnaseer Group Title

the denominator of your second term above is wrong

6. asnaseer Group Title

you should get:$x^2/ x^2 + x^2/x = 6x^2$

7. asnaseer Group Title

next - simplify each term

8. P->Q Group Title

but dont they need to have the same denominator to add

9. asnaseer Group Title

what does $$x^2/x^2$$ equal?

10. P->Q Group Title

1

11. asnaseer Group Title

correct - now simplify the next term

12. P->Q Group Title

1+ x= 6x^2

13. asnaseer Group Title

thats right - now re-arrange this into a standard form, i.e into the form $$ax^2+bx+c=0$$ and then solve

14. P->Q Group Title

so I did quadratic equation and go -1 plus or minus radical 25 all over -12

15. asnaseer Group Title

doesn't look right - can you please show your steps so that I can help spot where you may have made a mistake?

16. P->Q Group Title

k, u said put it into the standard form so I started from 1 + x = 6x^2 -6x^2 + x+1 = 0 a= -6, b= 1, c= 1 $-1\pm \sqrt{1^{2}-4(-6)(1) \over 2(-6)}$

17. P->Q Group Title

then got -1 plus or minus radical 25 all over -12

18. asnaseer Group Title

oh - sorry - I misread

19. asnaseer Group Title

you are right - and you know what $$\sqrt{25}$$ equals?

20. asnaseer Group Title

the formula you used doesn't look quite right, it should be:$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

21. asnaseer Group Title

the WHOLE thing should be divided by 2a

22. asnaseer Group Title

so you should have got:$\frac{-1\pm \sqrt{1^{2}-4(-6)(1)}}{2(-6)}$

23. P->Q Group Title

o ok so um x = 1/-3 and x = 1/2

24. asnaseer Group Title

perfect!

25. P->Q Group Title

ya I ment to put all over 2a but I was trying to make it come out nice and pretty in the equation thing but it took lng

26. asnaseer Group Title

although you should write it as: x=-1/3 or 1/2

27. asnaseer Group Title

28. P->Q Group Title

wow these are so frustrating I was literally about to give up and go home, im in a library trying to study and there are all these other students basically hanging out and talking and there are no available tutors

29. asnaseer Group Title

also note that you should use the word "or" rather than "and" here. i.e. x = -1/3 or 1/2 instead of x = -1/3 and 1/2 because x canot equal both values at the same time

30. P->Q Group Title

ok ill do that

31. P->Q Group Title

thanks a lot you gave me a little hope to keep pushing a little more

32. asnaseer Group Title

great - and keep persevering - you'll get the hang of these very soon I'm sure :)

33. asnaseer Group Title

yw :)