## anonymous one year ago Factor: x^2-8x+17

1. anonymous

Is my answer right, $(x-8)(x+\frac{ 17 }{ x-8 })$

2. UsukiDoll

there's a prime number ... so I highly doubt we can factor without the quadratic formula. that's one strange root...since it's supposed to be all numbers

3. rishavraj

solve the equation u got and see it matches with the equation u got

4. UsukiDoll

are you aware of the discriminant formula $b^2-4ac$

5. anonymous

I guess so...that's the formula for checking perfect trinomials right?

6. UsukiDoll

perfect square numbers

7. rishavraj

thts the formula to get the value of x ,,..u can say

8. anonymous

Going back, is (x−8)(x+17/x−8) right?

9. UsukiDoll

a = 1 b = -8 c=17

10. rishavraj

@JustinSpeedster r u only askd to factorize it or get the values of x???

11. anonymous

Factorize only.

12. UsukiDoll

probably to factor, but how? since 17 is a prime. The only combinations are 1 x 17 17 x 1

13. rishavraj

yeah its cool thennn.... by the way u got options???

14. anonymous

15. UsukiDoll

$(-8)^2-4(1)(17)$ solve this first. do you have a perfect square ?

16. anonymous

It's obviously not a perfect square.

17. anonymous

But if we were to solve this: $(x+8) (x+\frac{ 17 }{ x+8 }) = x^2 +8x+17$

18. UsukiDoll

$64-68 = -4$ oh nice... we're going to have some imaginary i thing going on .

19. UsukiDoll

both of those aren't the right roots.

20. UsukiDoll

because roots are all numbers. You can't have variables in them

21. UsukiDoll

this equation has complex roots in them

22. anonymous

x+8 distributed to x = x^2 + 8x x+8 distrubted to x+17/x+8 leaves = 17

23. UsukiDoll

all wrong

24. anonymous

How? What's wrong in that "sense"?

25. UsukiDoll

you have to use the quadratic formula... wow I keep on typing that you can't have variables in the roots

26. UsukiDoll

|dw:1436966735517:dw|

27. anonymous

28. UsukiDoll

|dw:1436966762024:dw|

29. UsukiDoll

well you have to use the quadratic formula.. there I found the roots |dw:1436966793975:dw|

30. UsukiDoll

(x(4+i))(x-(4-i))

31. anonymous

I don't get it. >.<

32. rishavraj

@UsukiDoll Yo!!!

33. UsukiDoll

missed a sign (x-(4+i))(x-(4-i)) the roots are x = 4+i and x = 4-i respectfully right @rishavraj

34. UsukiDoll

use discriminant formula first then quadratic formula to get the roots finally put it in factorized form ..

35. rishavraj

@UsukiDoll yup :)))

36. UsukiDoll

thought so... thanks for verification @rishavraj

37. rishavraj

u r most welcome :)))