Question

If x = 2/3 is a solution of the quadratic equation 7x²+mx – 3=0; Find the value of m.

Answer 1

7x²+mx - 3=0

Given x = 2/3 is the solution of the given equation.

Put given value of x in the given equation

`7(2/3)^2 + (2m)/3 - 3 = 0`

`=> 28/9 + (2m)/2 - 3 = 0`

=> 28 + 6m -  27= 0

`=> 6m = -1`

`=> m = (-1)/6`