Question

If f and ß are the roots of quadrale
equation ax ²+Bx+c=0 find the value of Alfa + vita
​

Answer 1

Answer:

ax

2

+bx+c=0

α+β=

a

−b

αβ=

a

c

(i) equation whose roots are

α

2

1

,

β

2

1

Sum of roots =

α

2

1

+

β

2

1

=

(αβ)

2

α

2

+β

2

=

(αβ)

2

(α+β)

2

−2αβ)

=

a

2

c

2

a

2

b

2

−

a

2c

=

c

2

b

2

−2ac

\

product =

α

2

1

β

2

1

=

c

2

a

2

∴ equation is

c

2

x

2

+(2ac−b

2

)x+a

2

=0