ax2 + bx + c = 0
Divide both sides of the equation by a kind you can fill the place
Subtract c/a leave both sides
Complete the square:
The coefficient of the second term is b / a
This coefficient divided by 2 and square the result to get (a b/2) 2
Add 2 (b/a) 2 on both sides:
Since the left side of the right side of the equation above is a perfect square, you can factor the left-hand side by using the coefficient of the first term (x) and the base of the last term(b/2a)
Add these two and raise at the second.
Then, square on the right side to get (b2) /(4a2)
Get the same denominator on the right side:
Now, take the square root of each side:
Simplify the left:
Rewrite the right side:
Subtract (b) / 2 (a) of both sides:
The + – between the b and the sign of the square root mean more or negative. In other words, most of the time, you will get two answers using the quadratic formula.