Thursday, February 26, 2015

find the sum and the product of the following equations?find the sum and the product of the following equations:a.) 2x^2-8x+5=0b.)3x^2-9x=0c.)-.5...

Hope it is the sum product of the
roots:


We know that if ax^2+bx +c = 0 , and the roots x1 and x2,
then


the sum of roots is x1+x2 = -b/a and  the product of the roots
is x1x2 = c/a. We apply this to the given equations:


a.)
2x^2-8x+5=0'


Here identify a= 2, b = -8 and c =
5.


Sum x1+x1 = - (-8/2) = 4 and product of roots x1x2 = 5/2 =
2.5.



b.)3x^2-9x=0.


Here a =
3, b= -9.  c = 0 ( c is absent.)


So sum of the roots x1+x2  =
-(-9/3) = 3


Product of the roots x1x2 = 0/3 =
0.



c.)-.5 (in fraction
form)x^2-3x+2=0


 a = -0.5 . b = -3 and c =
-2.


Therefore sum of the roots = x1+x2 = -(-3/-0.5) =
-6/


Product of the roots = x1x2 = -2/-0.5 =
4.

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