In a quadratic function, the intersection points with the x-axis represent the values of x where the function equals zero, which are the solutions to the equation. Since a quadratic is typically expressed in the form ( ax^2 + bx + c = 0 ), the y-value at these intersection points is always zero, indicating that the solutions are solely defined by the x-values. Therefore, only the x-values of these intersection points are relevant as they represent the roots of the equation.
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
Sum
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.
Whether or not that there is a solution to a quadratic equation,
If a quadratic function is 0 for any value of the variable, then that value is a solution.
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
The solution to a math problem involving a quadratic equation is the values of the variable that make the equation true, typically found using the quadratic formula or factoring.
Sum
x2
Is it possible for a quadratic equation to have no real solution? please give an example and explain. Thank you
If the discriminant of a quadratic equation is less than zero then it has no solutions.
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.
Whether or not that there is a solution to a quadratic equation,
If a quadratic function is 0 for any value of the variable, then that value is a solution.
It has one real solution.
1,2.5
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.