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LESSON9.2Solving Equations by Completing the SquareNameClass9.2HARDBOUND SEWAGE 273BEGINS HEREDateSolving Equations by Completing the SquareEssential Question: How can you use completing the square

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How to fill out solving quadratics by completing

01

To solve quadratics by completing the square, follow these steps:

02

Make sure the quadratic equation is in the form ax^2 + bx + c = 0, where a, b, and c are constants.

03

If the coefficient of x^2 (a) is not equal to 1, divide the entire equation by a to make it equal to 1.

04

Move the constant term (c) to the other side of the equation.

05

Take half of the coefficient of x (b/2) and square it to get a new term, which we'll call 'd'.

06

Add and subtract 'd' to both sides of the equation.

07

Factor the perfect square trinomial on the left side of the equation.

08

Simplify the equation and solve for x by taking the square root of both sides.

09

Remember to consider both positive and negative square root values when solving for x.

Who needs solving quadratics by completing?

01

Solving quadratics by completing is useful for anyone studying or working in the fields of algebra, mathematics, physics, engineering, or any other discipline where quadratic equations are encountered.

02

It is especially important for students learning about quadratic functions and their applications in real-life problems.

03

Completing the square method is also commonly used when graphing quadratic functions or finding the vertex of a parabola.

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What is solving quadratics by completing?

Completing the square is a way to solve quadratic equations by making a perfect square trinomial.

Who is required to file solving quadratics by completing?

Students learning algebra or those solving quadratic equations are required to understand and use completing the square method.

How to fill out solving quadratics by completing?

To fill out solving quadratics by completing, one must follow the steps to convert a quadratic equation into a perfect square trinomial.

What is the purpose of solving quadratics by completing?

The purpose is to find the solutions, roots, or x-intercepts of a quadratic equation by transforming it into a form that is easier to work with.

What information must be reported on solving quadratics by completing?

The coefficients of the quadratic equation, the steps followed to complete the square, and the solutions obtained.

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