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Why do we learn completing the square?

Why do we learn completing the square?

Completing the Square is a technique which can be used to find maximum or minimum values of quadratic functions. We can also use this technique to change or simplify the form of algebraic expressions. We can use it for solving quadratic equations.

What is the use of completing the square method?

Completing the square method is one of the methods to find the roots of the given quadratic equation. In this method, we have to convert the given equation into a perfect square. We can also evaluate the roots of the quadratic equation by using the quadratic formula.

What is the advantages and disadvantages of completing the squares?

The advantage of this method are that it always works and that completing the square gives some insight into how algebra works more generally. The disadvantage is that this method is complex.

Why do you think completing the square is necessary in solving for the roots of quadratic equation?

1 Answer. George C. To simplify quadratic expressions so that they become solvable with square roots.

How does quadratic equation apply to real life situation?

Quadratic equations are used in many real-life situations such as calculating the areas of an enclosed space, the speed of an object, the profit and loss of a product, or curving a piece of equipment for designing.

Is completing the square method removed 2021?

Answer: yes dude… it’s removed from the syllabus.

Can you use the quadratic formula instead of completing the square?

Next, if the coefficient of the squared term is 1 and the coefficient of the linear (middle) term is even, completing the square is a good method to use. Finally, the quadratic formula will work on any quadratic equation.

Why is the quadratic formula method useful and/or important?

Factorization and completing the square method are two other ways to solve a quadratic equation. However, the quadratic formula is considered more efficient because it is applicable for all the equations and acts as the only single formula that can evaluate the roots in any quadratic equation.

What have you learned about solving quadratic equations by completing the square?

Example: Solving a Quadratic by Completing the Square Add the result to both sides of the equal sign. Factor the left side as a perfect square and simplify the right side. Use the square root property and solve. The solutions are x=32+√292 x = 3 2 + 29 2 , x=32−√292 x = 3 2 − 29 2 .

How do you teach completing the square?


  1. Step 1 Divide all terms by a (the coefficient of x2).
  2. Step 2 Move the number term (c/a) to the right side of the equation.
  3. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

How will quadratic equations help you in solving real life problems and making decisions?

Quadratic equations are actually used in everyday life, as when calculating areas, determining a product’s profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.

What topics are removed from class 10 Maths?

CBSE Class 10 Math Deleted Syllabus 2021-22

TOPIC Deleted Portion of Class 10 Math 2021-2022
REAL NUMBERS Euclid’s division lemma
POLYNOMIALS Statement and simple problems on division algorithm for polynomials with real coefficients

Do we have to write steps of construction in term 2?

Yes it is necessary.

Why is it important to write quadratic equations in standard form before factoring?

The form ax2 + bx + c = 0 is called standard form of a quadratic equation. Before solving a quadratic equation using the Quadratic Formula, it’s vital that you be sure the equation is in this form. If you don’t, you might use the wrong values for a, b, or c, and then the formula will give incorrect solutions.

What are the application of quadratic equation in real life?

Quadratic equations are used in various real-life situations such as calculating profit or the speed of an object. Real life examples of quadratic functions are throwing a ball, profit and loss of product, and so on.

What is the primary purpose of the quadratic formula?

The quadratic formula provides the roots (also called zeroes or x-intercepts) of a quadratic equation. A quadratic equation is a second-degree equation; its highest term is raised to the second power. Quadratic equations take the form of a parabola.

What is the importance of knowing the different methods in solving quadratic equations?

By learning how to solve quadratics — perhaps not through direct, rote application of the quadratic equation — one learns how to solve problems. By learning about the properties of polynomial equations, one learns how to solve problems.

Why is completing the square necessary for the roots of a quadratic equation?

Where does completing the square come from?

Al-Khwarizmi, as Muhammed is more commonly called, solved quadratic equations by the method we call today, completing the square. Again, this phrase describes exactly what he did, as seen in the solution of his example that is the classical quadratic equation, x2+10x=39.