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Mathematics 19 Online
OpenStudy (anonymous):

Factor: x^2-8x+17

OpenStudy (anonymous):

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

OpenStudy (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

rishavraj (rishavraj):

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

OpenStudy (usukidoll):

are you aware of the discriminant formula \[b^2-4ac\]

OpenStudy (anonymous):

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

OpenStudy (usukidoll):

perfect square numbers

rishavraj (rishavraj):

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

OpenStudy (anonymous):

Going back, is (x−8)(x+17/x−8) right?

OpenStudy (usukidoll):

a = 1 b = -8 c=17

rishavraj (rishavraj):

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

OpenStudy (anonymous):

Factorize only.

OpenStudy (usukidoll):

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

rishavraj (rishavraj):

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

OpenStudy (anonymous):

I got no options.... sadly.

OpenStudy (usukidoll):

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

OpenStudy (anonymous):

It's obviously not a perfect square.

OpenStudy (anonymous):

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

OpenStudy (usukidoll):

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

OpenStudy (usukidoll):

both of those aren't the right roots.

OpenStudy (usukidoll):

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

OpenStudy (usukidoll):

this equation has complex roots in them

OpenStudy (anonymous):

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

OpenStudy (usukidoll):

all wrong

OpenStudy (anonymous):

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

OpenStudy (usukidoll):

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

OpenStudy (usukidoll):

|dw:1436966735517:dw|

OpenStudy (anonymous):

But I was asked not to use the quadratic formula.

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