Question

How do you solve `2x^2 -7x+3=0` by completing the square?

Answer 1

`x=3` or `x=1/2`

Explanation:

`2x^2-7x+3=0`

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

`implies 2(x^2-2 times 7/4 x+49/16)=49/8-3 = 25/8`

`(x-7/4)^2 = 25/16 implies x-7/4 = pm 5/4`

`implies x=7/4 pm 5/4 = 3 or 1/2`