An alternative method to solve a quadratic equation is to complete the square. To solve an equation of the form \(x^2 + bx + c = 0\) consider the expression \(\left(x + \frac{b}{2}\right)^2 + c\).

goes around traditional methods like completing the square and turns finding roots into a simpler thing involving fewer steps that are also more intuitive. Quadratic equations fall into an ...

c\). To get \(b\) (the number inside the bracket), halve the coefficient (number in front) of the second term in the original equation. Half of -6 is -3 so the bracket becomes \((x-3)\).

This problem can be written down as a quadratic equation of the form Ax 2 ... relies on a mathematical trick, called “completing the square,” that is far from intuitive.

Completing square: A quadratic equation can also be solved by the method of completing the square. i. Two distinct and real roots, if b 2 −4ac > 0 ii. Two equal and real roots, if b 2 −4ac = 0 ...