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Mathematics 8 Online
OpenStudy (anonymous):

x^2-20+36

OpenStudy (anonymous):

x^2-20+36 =0? is it equal to 0? x^2 + 16 = 0 x^2 = -16 x = -4 or 4

OpenStudy (anonymous):

I have to factor it and I don't know how

OpenStudy (anonymous):

Factoring is no fun but once you get the hang of it it becomes easy... so you may have to consult this website first http://www.instructables.com/id/How-to-factor/ or i can walk you through this problem

OpenStudy (anonymous):

4 and -4 are the factors x = √-16 x = -4 and 4

hero (hero):

Are you sure it isn't x^2 - 20x + 36

OpenStudy (anonymous):

o im sorry it is x^2-20x+36 im sorry

hero (hero):

Well, if that's the case then find two numbers, a and b, that add to get -20, yet multiply to get +36: a + b = -20 ab = 36

OpenStudy (anonymous):

18 + 2 and 18 * 2

hero (hero):

-18 - 2 to be more precise. But great job.

hero (hero):

Now, since -20 = -18 - 2, we can replace that in the expression: x^2 - 20x + 36 x^2 -(18 + 2)x -18*-2 x^2 -18x - 2x -18*-2 Now factor x from the first two terms; Factor -2 from the last two terms: x(x - 18) -2(x - 18) Finally factor (x - 18) out of the expression to get: (x - 18)(x - 2)

hero (hero):

Just correcting some errors. -18*-2 = 36

hero (hero):

This method is factor by grouping. There's less guessing involved if you do it this way.

OpenStudy (anonymous):

ok i see how you did that thanks

hero (hero):

Okay good.

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