Question

find the value of k if x= √3is a solution of x²+x/√3-4=0​

Answer 1

Step-by-step explanation:

Let m and 2m be the roots of the equation.

Then product of the roots is 2m

2

=4

⇒ m

2

=2

⇒ m=±

2

Sum of the roots is m+2m=3m=3(±

2

)

For instance let us consider positive square root i.e. m=

2

Then sum of the roots=−a=3

2

⇒ a=−3

2