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0 real solutions. There are other solutions in the complex planes (with i, the imaginary number), but there are no real solutions.

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13y ago

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If the discriminant is negative the graph of a quadratic function will cross or touch the x-axis time s?

If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.


Explain how the number of solutions for a quadratic equation relates to the graph of the function?

The number of solutions for a quadratic equation corresponds to the points where the graph of the quadratic function intersects the x-axis. If the graph touches the x-axis at one point, the equation has one solution (a double root). If it intersects at two points, there are two distinct solutions, while if the graph does not touch or cross the x-axis, the equation has no real solutions. This relationship is often analyzed using the discriminant from the quadratic formula: if the discriminant is positive, there are two solutions; if zero, one solution; and if negative, no real 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.


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

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.


Is it possible to have different quadratic equations with the same solution Why?

Yes it is possible. The solutions for a quadratic equation are the points where the function's graph touch the x-axis. There could be 2 places to that even if the graph looks different.


If the discriminant is zero the graph of a quadratic function will cross or touch the x-axis time s?

It will touch the x-axis and not cross it.


If the discriminant is zero the graph of a Quadratic function will cross or touch the x-axis time(s)?

It will touch the x-axis once.


How many times will the graph of a quadratic function cross or touch the x-axis if the discriminant is positive?

It will cross the x-axis twice.


How many times will the graph of a quadratic function cross or touch the x axis if the discriminant is zero?

Once.


If the discriminant is negative the graph of the quadratic function will cross or touch the x-axis how many times?

It would not touch or intersect the x-axis at all.


When the coefficient of x2 is negative?

When the coefficient of ( x^2 ) is negative in a quadratic equation, the parabola opens downward. This means that the vertex of the parabola represents a maximum point, and the value of the function decreases on either side of the vertex. Consequently, the graph will touch or cross the x-axis at most twice, indicating that the quadratic can have zero, one, or two real roots.


What does it mean when the graph of a quadratic function crosses the x axis twice?

When the graph of a quadratic crosses the x-axis twice it means that the quadratic has two real roots. If the graph touches the x-axis at one point the quadratic has 1 repeated root. If the graph does not touch nor cross the x-axis, then the quadratic has no real roots, but it does have 2 complex roots.