Solving Quadratic Equations Steps

Tom Ruiz, a math supervisor, explains how to write a quadratic equation given three points. The process involves substituting the points into the standard quadratic equation, using the elimination method to remove variables, and solving for the remaining variables. Finally, the values are plugged back into the equation to form the complete quadratic equation.

What is the standard form of a quadratic equation?

• ax + by + c = 0

• ax^2 + bx + c = y

• ax^2 + bx^2 + c = y

• ax^2 + bx + c = 0

What is the significance of the standard form of a quadratic equation?

• It is the basis for solving quadratic equations

• It is used for linear equations

• It is irrelevant

• It is used for cubic equations

What is the first step in finding a quadratic equation given three points?

• Graph the points

• Eliminate variable c

• Substitute the points into the equation

• Solve for variable a

After substituting the points, what do you obtain?

• No equations

• Two equations

• Three separate equations

• A single equation

What method is used to eliminate one of the variables from the equations?

• Substitution method

• Trial and error

• Graphical method

• Elimination method

Which variable is typically eliminated first in the process?

• Variable a

• Variable b

• Variable c

• Variable x

After eliminating one variable, what is the next step?

• Eliminate another variable

• Check for errors

• Solve for the remaining variable

• Graph the equations

What is the purpose of using the elimination method in this process?

• To check the solution

• To simplify the equation

• To graph the equation

• To remove variables and solve for others

What do you do after finding the value of one variable?

• Substitute it back into one of the original equations

• Eliminate another variable

• Check the solution

• Graph the solution

How do you find the second variable after solving for the first?

• Use a calculator

• Graph the points

• Substitute the first variable back into an equation

• Use the quadratic formula