Mathematics
8 Online
OpenStudy (anonymous):
I need to solve for 2x^2 -10x+3=0 using the quadratic formula. Any help?
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OpenStudy (anonymous):
I am thinking, find a,b,c
OpenStudy (anonymous):
But i feel as though i am getting it wrong.
OpenStudy (welshfella):
quadratic formula is
x = -b +/- sqrt (b^2 - 4ac)
-------------------
2a
where a , b and c are the numbers in the equation
ax^2 + bx + c = 0
OpenStudy (anonymous):
a=2
b=-10
c=3
OpenStudy (anonymous):
so plug these in ?
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OpenStudy (welshfella):
right
OpenStudy (anonymous):
Ok, thanks a bunch.
OpenStudy (welshfella):
watch the signs
eg -b = - (-10)
OpenStudy (anonymous):
I see.
OpenStudy (anonymous):
would -b make the -10 positive 10?
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OpenStudy (welshfella):
yes
OpenStudy (anonymous):
20--24/4
OpenStudy (anonymous):
so 44 /4=10
OpenStudy (anonymous):
x=10?
OpenStudy (anonymous):
11* srry
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OpenStudy (welshfella):
you left out the sqrt
its
(10 + sqrt76 )/ 4 or ( 10 - sqrt76) / 4
perform the calculation in the parentheses first, then divid e by 4
OpenStudy (anonymous):
OH!!!
OpenStudy (anonymous):
silly me:)
OpenStudy (anonymous):
what would be the square root i do not understand.
OpenStudy (welshfella):
use your calculator - enter square root then 76
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OpenStudy (anonymous):
i see, so 11-sgrt76, but where is this 76 from?
OpenStudy (anonymous):
2.28220211292 would be the answer
OpenStudy (welshfella):
the 76 comes from the b^2 - 4ac of the formua:-
10^2 - 4*2*3 = 100 - 24 = 76
OpenStudy (anonymous):
I see. Thank you for your time. :)
OpenStudy (welshfella):
ok where did you get 2.25 from?
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OpenStudy (welshfella):
2.28 and so on?
OpenStudy (anonymous):
11-sgrt76=2.28 sir
OpenStudy (welshfella):
10 - sqrt76 = 10 - 8.72 - 1.28
but you now have to divide by 4
x = 1.28 / 4 = 0.32
OpenStudy (anonymous):
hm, i see. that would be .32 OK
OpenStudy (welshfella):
thats one root and the other is
(10 + sqrt76 )/ 4
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OpenStudy (anonymous):
i completely forgot;/
OpenStudy (welshfella):
these quadratics can have 2 roots
OpenStudy (anonymous):
Hm.