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Mathematics 10 Online
OpenStudy (anonymous):

r^2-22r+21+0

OpenStudy (unklerhaukus):

you mean r^2-22r+21=0

OpenStudy (anonymous):

yes

OpenStudy (unklerhaukus):

or r^2-22r+121=0 ?

OpenStudy (anonymous):

the first one you suggested

OpenStudy (unklerhaukus):

ok so find the factors of 21 \[\pm1,\pm3,\pm7,\pm21\] which of these add to -22 ?

OpenStudy (anonymous):

-1,-21?

OpenStudy (unklerhaukus):

right,

OpenStudy (anonymous):

r^2-22r+21+0 r^2-22r+21 a = 1, b = -22, c = 21; r = (-b +- sqrt(b^2 -4ac))/2a r = (-(-22) +- sqrt(484- (-84)))/2 r = (22 +- sqrt(568))/2 for (+) r = (22+ 23.8)/2 = 22.9 for (-) r=(22 - 23.8)/2 = -0.9

OpenStudy (anonymous):

(r-1)(r-21) ?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

(r-1)(r-21) where r =1 or 21

OpenStudy (unklerhaukus):

to check , expand the brackets (r-1)(r-21)= r(r-21)-1(r-21) = r^2-21r-r+21 = r^2-22r+21

OpenStudy (anonymous):

good

OpenStudy (anonymous):

thank you very much! both of you! i think i actually get it now

OpenStudy (anonymous):

ok ur welcome., friend, follow my twitter ok @gerryphysicist

OpenStudy (unklerhaukus):

gerryliyana you mean r = (-(-22) +- sqrt(484- 84))/2

OpenStudy (anonymous):

yes @UnkleRhaukus .., hehe I am wrong count before

OpenStudy (unklerhaukus):

\[r = \frac{-(-22) \pm \sqrt{484- 84}}2\] \[\quad= \frac{22 \pm \sqrt{400}}2\]\[\quad= \frac{22 \pm 20}2\]\[\quad=11 \pm 10\]\[r_{1,2}=21,1\]

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