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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.


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Q: How do you find solutions to quadratic eqations?
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Related questions

Why do mathmaticians use the quadratic formula?

To find the roots (solutions) of a quadratic equation.


How can you find the complex solutions of any quadratic equation?

I suggest you use the quadratic formula.


How do you find quadratic equation with only 2 solutions?

If the discriminant of the quadratic equation is equal or greater than zero it will have 2 solutions if it is less than zero then there are no solutions.


How you find the solution of a quadratic equation by graphing its quadratic equation?

When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.


What statement must be true of an equation before you can use the quadratic formula to find the solutions?

The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.


What is the quadriatic formula used for?

To find the solutions of x in a quadratic equation.


What is the difference between quadratic formula and quadratic equation?

There are an infinite number of different quadratic equations. The quadratic formula is a single formula that can be used to find the pair of solutions to every quadratic equation.


Does quadratic equation relate to science?

No, the quadratic equation, is mainly used in math to find solutions to quadratic expressions. It is not related to science in any way.


How many real solutions does a quadratic equation have if its discriminant is negative?

The quadratic has no real solutions.


How many real solutions can the quadratic formula give?

A quadratic equation can have either two real solutions or no real solutions.


What is the quadratic formula used forHow do you find the average of a set of numbers?

The quadratic formula is used to find the solutions (roots) of a quadratic equation in the form ax² + bx + c = 0, where "a," "b," and "c" are constants.


Find the quadratic equation if the following solutions are 3 and 5?

x2 - 8x + 15