What are the 4 methods to solve a quadratic equation?

Answer 1

You can solve a quadratic equation 4 different ways. graphing, which is quick but not reliable, factoring, completing the square and using the quadratic formula.

There is a new fifth method, called Diagonal Sum Method, that can quickly and directly give the 2 roots in the form of 2 fractions, without having to factor the equation. It is fast, convenient, and is applicable whenever the equation can be factored. Finally, you can proceed solving in 2 steps any given quadratic equation in standard form. If a=1, solving the equation is much simpler.

First, you always solve the equation in standard form by using the Diagonal Sum Method. If it fails to find answer, then you can positively conclude that the equation is not factorable, and consequently, the quadratic formula must be used.

In the second step, solve the equation by using the quadratic formula.

Answer 2

The four steps to solving equations are.

First it is necessary to simplify the equation by using the distributive property where applicable and combining like terms.

Next, it is necessary to collect all the variables together on one side of the equation by adding or subtracting from each side.

Using inverse operations for addition and subtraction can remove constants next, to get the variables and constants on opposite sides.

Lastly, inverse operations can be used to eliminate coefficients in front of variables to get the variables by themselves. It is important to remember that when multiplying or dividing an inequality by a negative number, the direction of the inequality sign will need to be flipped.