Question

9) The solution of the equation + b y + 5 = 0 and − − 12 = 0 is

(2, -3)

Find the values of a and b.​

Answer 1

Answer:

given quadratic equation is x

2

+px−5/4

therefore the sum of roots of this equation is

1−p

=−p 

given 1 root is

2

1

let the other root be x

as

2

1

is a root 

⇒(

2

1

)

2

+p(

2

1

)−

4

5

=0

⇒p=2

sum of roots =x+

2

1

=−p=−2

therefore the other root is −2−

2

1

=−2.5