Question

if 2 is a root of the equation ax ² + ax + 2 = 0
& x²-x-b=0 then find the value of a/b
​

Answer 1

Answer:

Given quadratic equations

x

2

−cx+d=0 ....(1)

Let α,β be the roots of equation (1)

x

2

−ax+b=0 .....(2)

Let α,α be the roots of equation (2)

2α=a

α=

2

a

Also , α

2

=b

Since, α is a root of (1),

α

2

−cα+d=0

b+d=

2

ac

⇒2(b+d)=ac

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