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

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Q: Why do you use square roots to solve quadratic equations?
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Related questions

How do you formulate quadratic equation that can be solve by extracting square roots?

By using the quadratic equation formula

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

In mathematics how does one use the quadratic formula?

The Quadratic formula in mathematics is used to solve quadratic equations in algebra. The simplest way to solve these equations is to set each of the factors to zero and then solve each factor separately.

Can you solve all quadratic equations?


Can all quadratic equations be solved?

Well, that depends on what you mean "solve by factoring." For any quadratic equation, it is possible to factor the quadratic, and then the roots can be recovered from the factors. So in the very weak sense that every quadratic can be solved by a method that involves getting the factors and recovering the roots from them, all quadratic equations can be solved by factoring. However, in most cases, the only way of factoring the quadratic in the first place is to first find out what its roots are, and then use the roots to factor the quadratic (any quadratic polynomial can be factored as k(x - r)(x - s), where k is the leading coefficient of the polynomial and r and s are its two roots), in which case trying to recover the roots from the factors is redundant (since you had to know what the roots were to get the factors in the first place). So to really count as solving by factoring, it makes sense to require that the solution method obtains the factors by means that _don't_ require already knowing the roots of the polynomial. And in this sense, most quadratic equations are not solvable through factoring.

How do you solve quadratic equations by graphing?

josh hutcherson

What is a solution of a quadratic?

A quadratic function is ax2+bx+c You can solve for x by using the quadratic formula, which, as the formula requires the use of square roots, would be tricky to put here.

How do you solve quadratic equations by finding square roots?

you use difference of squaresex. X^2-4 can be factored out to (x+2)(x-2)you now have the zeros in your equation much easier

What is the quadratic formula for?

The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.

What is the quadratic equation used for?

It is used to solve quadratic equations that cannot be factored. Usually you would factor a quadratic equation, identify the critical values and solve, but when you cannot factor you utilize the quadratic equation.

How do you solve simultaneous quadratic equations?

Graphically might be the simplest answer.

How did the Babylonians solve quadratic equations?


How do you solve a quadratic equation graphically?

The roots of the quadratic equation are the x-intercepts of the curve.

What are the advantages and disadvantages of using factoring to solve quadratic equations?

The main advantage is that, when it works, it is simple and gives the roots quickly. The main disadvantage is that it does not always work. If the discriminant of the quadratic equation is not a square, then it will not work. Also, if the coefficients have many factors, there may be a very large number of factor pairs you need to try to find the required sum/difference.

What is a great website to use for quadratic equations?

Wolfram Alpha can solve not just quadratic equations, but all sorts of equations. Note that in this particular website, you can see the solution for free, but you need a paid subscription to show the steps. I am sure there are other websites that can help you as well; you may want to try a Web search for "quadratic equation", for example. On the other hand, you should definitely learn to solve quadratic equations on your own.

What is the quadratic formula used for?

The quadratic formula is used all the time to solve quadratic equations, often when the factors are fractions or decimals but sometimes as the first choice of solving method. The quadratic formula is sometimes faster than completing the square or any other factoring methods. Quadratic formula find: -x-intercept -where the parabola cross the x-axis -roots -solutions

How does the zero product rule help you solve quadratic equations?

Factor it! Set each equal to zero! Solve

Do you find principle square roots when you solve equations or expressions?

Yes, sometimes you need to do that.

How can you write c program to the roots solve a quadratic equation?

The most straightforward way to do this is to use the quadratic equation.

What is the history of quadratic equations?

at first the first person to solve the quadratic equation is from the middle kingdom of Egypt. Greeks were also able to solve the quadratic equation but that was on the unproper way. Greeks were able to solve the quadratic equation by geometric method or equlid's method. equlid's method contains only three quadratic equation. dipohantus have also solved the quadratic equations but he have solved by giving only two roots any they both were only of positive signs.After that arbhatya also gave the two formulas for quadratic equation but the bentaguptahave only accepted only one of them after theat some of the Indian mathematican have also solved the quadratic equation who gave the proper definations and formula and in this way quadratic equation have been formed. Prabesh Regmi Kanjirowa National School

What are the pros and cons of the quadratic equation?

Pros: There are many real life situations in which the relationship between two variables is quadratic rather than linear. So to solve these situations quadratic equations are necessary. There is a simple equation to solve any quadratic equation. Cons: Pupils who are still studying basic mathematics will not be told how to solve quadratic equations in some circumstances - when the solutions lie in the Complex field.

Completing the square method?

Completing the square is a method to solve quadratic equations. To use this method you take the number without a variable and subtract it from both sides, so that it is on the opposite side of the equation. Then add the square of half the coefficient of the x-term to both sides. This will give you a perfect square equation to solve for.

How do you use a graphing calculator to solve quadratic equations?

Graph the equation then find the x intercepts.

What is the quadratic formula cannot be used to solve an equation if the coefficient of the equation x square term is?

The quadratic formula cannot be used to solve an equation if the coefficient of the equation x square term is what?

How do you find solutions to quadratic eqations?

There are several ways to solve such equations: (1) Write the equation in the form polynomial = 0, and solve the left part (where I wrote "polynomial"). (2) Completing the square. (3) Use the quadratic formula. Method (3) is by far the most flexible, but in special cases methods (1) and (2) are faster to solve.