SOLUTION: How to solve x^2-5x+2=0 by completing the square

Algebra.Com
Question 878383: How to solve x^2-5x+2=0 by completing the square
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
The missing square term is .
Add 25/4 to both sides of the equation, simplify, and then form the binomial factor, and arrange the equation into standard form.







Find the lesson for this.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

I'll do you one better; here is how to solve any quadratic by completing the square:

Step 1: If there is a lead coefficient other than 1, divide both sides of the equation by the lead coefficient.

Step 2: Add the opposite of the constant term to both sides.

Step 3: Divide the first degree term coefficient by 2 then square the result.

Step 4: Add the result of step 3 to both sides of the equation.

Step 5: Factor the resulting perfect square trinomial in the Left Hand Side.

Step 6: Take the square root of both sides.

Step 7: Add the opposite of the constant term to both sides and simplify the Right Hand Side.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


RELATED QUESTIONS

solve by completing the square: x^2 + 5x... (answered by checkley77)
Solve by completing the square:... (answered by math_helper)
Solve by completing the square.... (answered by Earlsdon,sdmmadam@yahoo.com)
Solve by completing the square x^2 = 5x + 2... (answered by Nate)
Solve by completing the square. x^2 = 5x + 2 (answered by Nate)
Solve by completing the square. x^2 = 5x + 2 (answered by avilleredbone08)
Solve by completing the square. x^2 = 5x + 2 (answered by stanbon)
Solve by completing the square. x^2 = 5x + 2 (answered by HyperBrain)
Solve by completing the square. x^2 = 5x + 2 (answered by jim_thompson5910)