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 + "m"(2/3) - 3 = 0`

⇒ `28/9 + (2"m")/3` - 3 = 0

⇒ 28 + 6m - 27 = 0

⇒ 6m = -1

⇒ m = `(-1)/6`