# How do you solve by completing the square: #ax^2+bx+c=0#?

##### 1 Answer

Apr 1, 2015

Divide all terms by

Subtract the constant term from both sides of the equation

To have a square on the left side the third term (constant) should be

So add that amount to both sides

Re-write the left-side as a square

Take the square root of both sides (remembering that the result could be plus or minus)

Subtract the constant term on the left side from both sides

or, with some simplification

(the standard form for solving a quadratic)