-
if in equation
A=C, then?
two roots α and β are reciprocal to each other
-
if in equation
B=0, then?
two roots α and β are equal in magnitude and oposite in sign
-
in equation x2+5x+6=0
the sign of two roots α and β is ???
- sign of (α and β)= -ve
- sign of (αβ)= +ve
- both roots α and β are negative
-
in equation x2-5x+6=0
the sign of two roots α and β is ???
- sign of (α and β)= +ve
- sign of (αβ)= +ve
- so,both roots α and β are positive
-
in equation x2-5x-6=0
the sign of two roots α and β is ???
- sign of (α and β)= +ve
- sign of (αβ)= -ve
- then, α is positive and β is negative if α>β(numerically)
-
in equation x2+5x-6=0
the sign of two roots α and β is ???
- sign of (α and β)= -ve
- sign of (αβ)= +ve
- then, α is negative and β is positive
- if, α>β(numerically)
-
roots of an equation is given by
x=(-b±√D)÷2a
-
Nature Of Roots:
If, D<0
complex with non zero imaginary part
-
Nature Of Roots:If,
D=0
rational and equal
-
Nature Of Roots:If,
D>0 and is a perfect square
rational and unequal
-
Nature Of Roots:If,
D>0 and is NOT a perfect square
irrational and conjugate pairs
-
if in equation
A=1, and B,C are integers
and
roots are rational numbers
these roots must be integers
-
if in equation
and
one root is common, then
-
condition that , is factorizable into two linear factors
-
formation of a quadratic equation??
-
nature of roots ??
If D<0 then ???
and D 0 then ,
|
|