CBSE Class 11-science Answered
IF ? AND ? ARE THE ROOTS OF THE QUADRATIC EQUATION ax (WHERE X IS RAISED TO THE POWER 2)+bx+c=0 ,THEN FIND THE QUADRATIC EQUATION WHOSE ROOTS ARE
1)2? , 2?
2)?(where alpha is raised to the power 2) ,?(where beta is raised to the power 2)
3)1+?/1-? , 1+?/1-?
4)?/? , ?/?
Asked by | 01 Dec, 2012, 08:09: PM
Expert Answer
from sum of roots and product of roots we can say
?+?=-b/a
??=c/a
i) for the new equation
Sum of roots=2?+2?=2(?+?)=-2b/a
product of roots=2?*2?=4??=4c/a
therfor new equation
X^2+2b/a X+4c/a=0
or, aX^2-2bX+4c=0
Similarly in rest of the parts find sum and product of roots of the new equation and the equation can be written as
X^2-(sum of rrots)*X+(product of roots)=0
Answered by | 02 Dec, 2012, 11:15: AM
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