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A quadratic equation is an equation in which one variable (usually y) is in terms of another (usually x) where the highest power of that other is 2 (i.e. "x squared" or x2). Solving such an equation refers to the process of determining which values of the x-ordinate give a y-ordinate of zero.
There are technically always two roots (the aforementioned x-ordinates): either two different roots, two equal roots (where the same number is used twice) or no real roots but two imaginary/complex roots (in this case the y-ordinate never equals zero; 'imaginary'/'complex' means a number involving the square root of a negative number).
They can be calculated using a formula which involves the different constants of the equation, where y = ax2 + bx + c: the solutions are x = [-b + √(b2 - 4ac)]/2a.
For example, say an equation is y = 1x2 + 7x + 12. The corresponding formula is
x = [-7 + √(49 - 48)]/2
= (-7 + 1)/2
= -3 or -4
We know these are roots, but we should still check them by plugging each one into the initial equation. If they work, then the x-intercepts are (-3, 0) and (-4, 0).
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What are the methods use in solving quadratic equation?
By using the quadratic equation formula or by completing the square
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 does y equals 0 when solving a quadratic equation?
Because when your solving a quadratic equation your looking for x-intercepts which is where why equals 0 and x equals what ever the answer is.
What are the four steps for solving a quadratic equation?
The 1st step would have been to show a particular quadratic equation in question.
What are the best on-line calculators for solving quadratic equations by using the quadratic formula?
Trywww.mathsisfun.com/quadratic-equation-solver.html
What are the methods use in solving quadratic equation?
By using the quadratic equation formula or by completing the square
What is the solving for the roots of quadratic equation?
It is finding the values of the variable that make the quadratic equation true.
Which the easy way the method of factoring or the solving the quadratic equation?
By knowing how to use the quadratic equation formula.
Why does y equals 0 when solving a quadratic equation?
Because when your solving a quadratic equation your looking for x-intercepts which is where why equals 0 and x equals what ever the answer is.
What are the four steps for solving a quadratic equation?
The 1st step would have been to show a particular quadratic equation in question.
When solving a quadratic equation by factoring what method is used?
Start with a quadratic equation in the form � � 2 � � � = 0 ax 2 +bx+c=0, where � a, � b, and � c are constants, and � a is not equal to zero ( � ≠ 0 a =0).
When do you use the Quadratic Formula in math?
you use the quadratic formula in math when the quadratic equation you are solving cannot be factored.
What are the best on-line calculators for solving quadratic equations by using the quadratic formula?
Trywww.mathsisfun.com/quadratic-equation-solver.html
What form is the solving for the roots of quadratic equations?
Using the quadratic equation formula or completing the square
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.
Solving quadratic equation by completing the square?
Yes it is quite possible
How is solving a quadratic equation the same as finding its roots?
That is what roots mean!
