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Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
What else can I help you with?
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
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.
How can you solve quadratic functions by completing the square?
x^2-16x=-15 x^2-16x+(-8)^2=-15+(-8)^2 (x-8)^2=49 (x-8)^2=+-7 8+7=15 8=7=1 The solutions are 15 and 1. You can use the example above to solve quadratic equations by completing the square.
Can you give me an example of a real life situation involving quadratic functions?
Quadratic functions will be used in chemistry in real life. Quadratic equations are used to solve equilibrium problems and determine the amount of reactants in a mixture that will react and the concentrations of products that will be form.
Which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring?
Here are two ways to know if a given quadratic equations can be factored (can be solved by factoring). 1. Calculate the Discriminant D = b^2 - 4ac. When D is a perfect square (its square root is a whole number), then the given equation can be factored. 2. Solve the equation by using the new Diagonal Sum method (Amazon e-book 2010). This method directly finds the 2 real roots without having to factor the equation. Solving usually requires fewer than 3 trials. If this method fails to get the answer, then we can conclude that the equation can not be factored, and consequently the quadratic formula must be used.
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
How do you formulate quadratic equation that can be solve by extracting square roots?
By using the quadratic equation formula
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
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.
Do you find principle square roots when you solve equations or expressions?
Yes, sometimes you need to do that.
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.
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 did the Babylonians solve quadratic equations?
1+1=2
How do you solve simultaneous quadratic equations?
Graphically might be the simplest answer.
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.
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.
