In our Maths class , We learnt about the sum and product of roots . In this last weekend Mr. Piatek told us to collect the information about the imaginary numbers . Few students pasted the information about imaginary numbers in briefly and very nicely . Mr.P gave them bonus points Here is the information about the sum and product of roots.
the quadratic formula
give the roots of a quadratic equation which may be real or imaginary. The sign in the radical indicates that
where x1 and x2 are the roots of the quadratic equation ax2+bx+c=0 . The sum of rootsx1+x2 and the product of roots x1x2 are common to problems involving quadratic equation.
Derivation of the Sum of Roots
Derivation of the Product of Roots
by taking this formula we get
the formula is c/a
Example
What are the sum and product of the roots of
4x2 -3x + 2
here the value of b= -3, a=4
Solution
The sum is
b 3
- =
a 4
-
a 4
and the product of the roots is
c 2 1
= =
Equation | Values of 'a', 'b' and 'c' | One Root (x) | Other Root (x) | Sum of Roots (x + x) | Product of Roots (xx) |
a = 3, b = 10, c = 7 | x = -1 | (-1)+ += | (-1)=7/3 |
that are the some of examples related to sum of roots and product of roots we did in class.
see u tomorrow
important notice:-the assignment of algebra is due on November 25,2010
The mental math quiz is on wednesday
see u tomorrow
byeeeeeeeeeeee
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