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Mathematics 15 Online
OpenStudy (ivonne123):

help pls this question has to be No answer right?

OpenStudy (ivonne123):

\[x^2-9x-136\]

jimthompson5910 (jim_thompson5910):

what are you trying to do exactly? Solve for x or factor? or something else?

OpenStudy (ivonne123):

Factor the trinomial.

jimthompson5910 (jim_thompson5910):

Let's compute the discriminant D = b^2 - 4ac D = (-9)^2 - 4(1)(-136) D = 81 + 544 D = 625 Notice how the discriminant D = 625 is a perfect square 25^2 = 25*25 = 625 or put another way sqrt(625) = 25 So this implies that we can factor

jimthompson5910 (jim_thompson5910):

If the discriminant wasn't a perfect square, then you wouldn't be able to factor

jimthompson5910 (jim_thompson5910):

you need to find two numbers that A) multiply to -136 and B) add to -9

OpenStudy (ivonne123):

all i think about it 9 x1 and 3 x 3

jimthompson5910 (jim_thompson5910):

what are some ways to multiply to -136?

OpenStudy (ivonne123):

8 and 17

jimthompson5910 (jim_thompson5910):

one of them has to be negative

OpenStudy (ivonne123):

-17 & 8

jimthompson5910 (jim_thompson5910):

yes so that means x^2-9x-136 factors to (x-17)(x+8)

OpenStudy (ivonne123):

thank you !

jimthompson5910 (jim_thompson5910):

you're welcome

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