6 Questions
What is the process of completing the square used for?
Solving quadratic equations
What is the result of completing the square for a quadratic equation?
A perfect square trinomial
In completing the square, what value is added and subtracted to the quadratic equation?
Half the coefficient of the x-term
Explain the process of completing the square for a quadratic equation.
To complete the square for a quadratic equation, first ensure the coefficient of x^2 is 1. Then, halve the coefficient of x, square the result, and add/subtract it to the equation to create a perfect square trinomial.
What is the purpose of completing the square?
Completing the square is used to transform a quadratic equation into a form that makes it easier to solve, particularly by factoring or using the quadratic formula.
What is added and subtracted when completing the square for a quadratic equation?
When completing the square, half the coefficient of x is added and subtracted to the quadratic equation to create a perfect square trinomial.
Test your understanding of completing the square with this quiz. Learn about the purpose and results of completing the square for quadratic equations, and practice adding and subtracting the necessary values to complete the process.
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