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What does it mean if the value under the radical sign in the quadratic formula is negative?
If the value under the radical sign (the discriminant) in the quadratic formula is negative, it means that the quadratic equation has no real solutions. Instead, it has two complex (or imaginary) solutions. This occurs because the square root of a negative number is not defined in the set of real numbers, indicating that the parabola represented by the equation does not intersect the x-axis.
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.
Are there no real solutions if a quadratic function is 0?
If a quadratic function is 0 for any value of the variable, then that value is a solution.
When does a equation have two solutions?
Two cases in which this can typically happen (there are others as well) are: 1. The equation includes a square. Example: x2 = 25; the solutions are 5 and -5. 2. The equation includes an absolute value. Example: |x| = 10; the solutions are 10 and -10.
Why is only the x value of the intersection point the solution to an equation in a quadratic function?
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.
How many solutions do absolute value equations have?
An equation with absolute values instead of simple variables has twice as many solutions as an otherwise identical equation with simple variables, because every absolute value has both a negative and a positive counterpart.
What are the solutions of the quadratic equation 3x2 - x 11?
Without an equality sign and not knowing the plus or minus value of 11 it can't be considered to be an equation.
What does it mean if the value under the radical sign in the quadratic formula is negative?
If the value under the radical sign (the discriminant) in the quadratic formula is negative, it means that the quadratic equation has no real solutions. Instead, it has two complex (or imaginary) solutions. This occurs because the square root of a negative number is not defined in the set of real numbers, indicating that the parabola represented by the equation does not intersect the x-axis.
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.
Do all linear quadratic systems have two solutions or one?
They will have 2 different solutions or 2 equal solutions and some times none depending on the value of the discriminant within the quadratic equation
What happens when A changes in the equation ax2 Bx c?
If you mean: ax2+bx+c = 0 which is the general form of a quadratic equation whereas a is > 0 and any increases to the value of a will effect the solutions of the equation.
What is the meaning of fabs in quadratic equation in c program?
In the C Programming Language, the fabs function returns the absolute value of a floating-point number
Are there no real solutions if a quadratic function is 0?
If a quadratic function is 0 for any value of the variable, then that value is a solution.
Fill in the blank The of the vertex of a quadratic equation is determined by substituting the value of x from the axis of symmetry into the quadratic equation?
D
When does a equation have two solutions?
Two cases in which this can typically happen (there are others as well) are: 1. The equation includes a square. Example: x2 = 25; the solutions are 5 and -5. 2. The equation includes an absolute value. Example: |x| = 10; the solutions are 10 and -10.
The difference between Quadratic function and quadratic equation?
dunctions are not set equal to a value
Why is only the x value of the intersection point the solution to an equation in a quadratic function?
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.
