HERE IS A PROBLEM FROM MYMATHLAB. I WROTE ALL OF THE DIRECTIONS. AT THE END I SAY WHAT I DON'T UNDERSTAND. PLEASE EXPLAIN IT TO ME AS IF YOU ARE EXPLAINING IT TO A FIVE YEAR OLD.
2x^2+ x- 1/8=0. Solve the quadratic equation by completing the square.
1.)We always begin this process by rearranging the equation so that the constant is on the right side.
2.) Next, divide both sides by 2 so that the coefficient of x^2 is 1.
x^2 + 1/2x= 1/16
3.) Now, find the number that completes the square. To find this number, take the square of half of the coefficient of X. What number will complete the square?
1/16. Now add 1/16 to both sides of the equation.
(x + 1/4)^2 = 1/8
4.)Now take the square root of both sides. The right side will need to be simplified.
x+1/4 = √2/4
Now, solve the equation for x.
x= 1/4 +√2/4
I DON'T UNDERSTAND WHERE THE NUMBER √2/4 CAME FROM. HOW DID THAT COME FROM 1/8? IT SAID TO TAKE THE SQUARE ROOT OF BOTH SIDES. HOW IS √2/4 THE ANSWER FOR 1/8?? IT DOESN'T MAKE ANY SENSE. PLEASE HELP ME