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How is solving a quadratic equation the same as finding its roots?

Anonymous

∙ 9y ago

Updated: 11/4/2022

That is what roots mean!

Wiki User

∙ 9y ago

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What is the solving for the roots of quadratic equation?

It is finding the values of the variable that make the quadratic equation true.

Why are x values called roots?

In math speak: Solving the equation means finding 'x' values that make the equation true. These 'x' values are called the roots of the quadratic.

What are you finding when you solve a quadratic equation?

You are finding the roots or solutions. These are the values of the variable such that the quadratic equation is true. In graphical form, they are the values of the x-coordinates where the graph intersects the x-axis.

What are quadratic equations with real roots?

If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.

What is the third step in solving this equation by completing the square?

Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic formula. Completing the square will always work when solving quadratic equations and is a good tool to have. Solving a quadratic equation by completing the square is used in a lot of word problems.I want you to follow the related link that explains the concept of completing the square clearly and gives some examples. that video is from brightstorm.

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Related Questions

What is the solving for the roots of quadratic equation?

It is finding the values of the variable that make the quadratic equation true.

Why are x values called roots?

In math speak: Solving the equation means finding 'x' values that make the equation true. These 'x' values are called the roots of the quadratic.

Why do you use square roots to solve quadratic equations?

Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.

What form is the solving for the roots of quadratic equations?

Using the quadratic equation formula or completing the square

How would you go about solving a quadratic equation?

Write the quadratic equation in the form ax2 + bx + c = 0 then the roots (solutions) of the equation are: [-b ± √(b2 - 4*a*c)]/(2*a)

What are you finding when you solve a quadratic equation?

You are finding the roots or solutions. These are the values of the variable such that the quadratic equation is true. In graphical form, they are the values of the x-coordinates where the graph intersects the x-axis.

What is Factor-Factorproduct relationship?

The Factor-Factor Product Relationship is a concept in algebra that relates the factors of a quadratic equation to the roots or solutions of the equation. It states that if a quadratic equation can be factored into the form (x - a)(x - b), then the roots of the equation are the values of 'a' and 'b'. This relationship is crucial in solving quadratic equations and understanding the behavior of their roots.

What are the roots of the quadratic equation below?

That depends on the equation.

What is the third step in solving this equation by completing the square?

Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic formula. Completing the square will always work when solving quadratic equations and is a good tool to have. Solving a quadratic equation by completing the square is used in a lot of word problems.I want you to follow the related link that explains the concept of completing the square clearly and gives some examples. that video is from brightstorm.

How can you tell how many solutions a quadratic equation will have without solving it?

A quadratic equation can have a maximum of 2 solutions. If the discriminant (b2-4ac) turns out to be less than 0, the equation will have no real roots. If the Discriminant is equal to 0, it will have equal roots. But, if the discriminant turns out to be more than 0,then the equation will have unequal and real roots.

What are quadratic equations with real roots?

If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.

Can all quadratics be solved by completing the square?

Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots or quadratic formula. Solving quadratic equations by completing the square will always work when solving quadratic equations-You can also use division or even simply take a GCF, set the quantities( ) equal to zero, and subtract or add to solve for the variable

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