The roots of a certain quadratic equation is 1 and 2/3. Determine the equation

Answer:3x^2-5x+2=0

Step-by-step explanation:

Format of a quadratic equation = ax^2 + bx+c

Let x=1 and 2/3

When x=1

x-1=0 ... (1)

When x=2/3

x-2/3=0 ... (2)

Compare the equations

(x-1) (x-2/3) = 0

x^2-2/3x-x+2/3=0

x^2-5/3x+2/3=0

Multiply all terms by 3

3x^2-5x+2=0