Solve each of the quadratic equations 0=5x^2-2x+6

Step-by-step explanation:

1. You can solve the quadratic equation by completing the square, as following:

- The leading coefficient must be 1, therefore, you need to divide the equation by 5:

- Substract at both sides:

- Divide the coefficient of by 2 and and square it:

- Add it to both sides:

- Then:

- Knowing that :

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x