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The solutions to a quadratic equation on a graph are the two points that cross the x-axis.

NB A graphed quadratic equ'n produces a parabolic curve. If the curve crosses the x-axis in two different points it has two solution.

If the quadratic curve just touches the x-axis , there is only ONE solution.

It the quadratic curve does NOT touch the x-axis , then there are NO solutions.

NNB In a quadratic equation, if the 'x^(2)' value is positive, then it produces a 'bowl' shaped curve.

Conversely, if the 'x^(2)' value is negative, then it produces a 'umbrella' shaped curve.

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lenpollock

Lvl 16
1y ago
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Wiki User

13y ago

On the x axis when y equals 0

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Q: Where do you find the solutions to a quadratic equation on a graph?
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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.


How do you know if a quadratic equation will have one two or no solutions How do you find a quadratic equation if you are only given the solution Is it possible to have different quadratic equation?

Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .


Why do mathmaticians use the quadratic formula?

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


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.


What is the quadratic formula used for today?

The quadratic formula is used today to find the solutions to quadratic equations, which are equations of the form ax^2 + bx + c = 0. By using the quadratic formula, we can determine the values of x that satisfy the quadratic equation and represent the points where the graph of the equation intersects the x-axis.


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

I suggest you use the quadratic formula.


How do you determine the solutions on a graph for a quadratic equation?

The X-Intercepts are the solutions. If you have an algebra calculator, you can usually find them by going to CALC>Zero>enter the left and right boundaries for each side.


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.


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.


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.


What is the quadriatic formula used for?

To find the solutions of x in a quadratic equation.


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

The equation must be written in the form ( ax^2 + bx + c = 0 ), where ( a \neq 0 ). This is the standard form of a quadratic equation. If the equation is not in this form, you may need to rearrange it before applying the quadratic formula.