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If the discriminant of an equation is negative is true of the equation?
If the discriminant of a quadratic equation is negative, it indicates that the equation has no real solutions. Instead, it has two complex conjugate solutions. This occurs because the square root of a negative number is imaginary, leading to solutions that involve imaginary numbers.
What does a quadratic equation graph have with a negative discriminant?
It has a complete lack of any x-intercepts.
How does the discriminant affect the roots of a quadratic equation?
If the discriminant is negative, the roots will be two unreal complex conjugates. If the discriminate is positive the roots will be real.
What solution does a negative discriminant have?
In basic mathematics, a quadratic equation with a negative discriminant has no solutions. However, at a more advanced level you will learn that it has two solutions which form a complex conjugate pair.
How many discriminant did this quadratic equation have -4j2 3j-280?
A quadratic equation has one discriminant.
How many real solutions does a quadratic equation have if its discriminant is negative?
The quadratic has no real solutions.
If the discriminant of an equation is negative is true of the equation?
If the discriminant of a quadratic equation is negative, it indicates that the equation has no real solutions. Instead, it has two complex conjugate solutions. This occurs because the square root of a negative number is imaginary, leading to solutions that involve imaginary numbers.
What does a quadratic equation graph have with a negative discriminant?
It has a complete lack of any x-intercepts.
How does the discriminant affect the roots of a quadratic equation?
If the discriminant is negative, the roots will be two unreal complex conjugates. If the discriminate is positive the roots will be real.
What solution does a negative discriminant have?
In basic mathematics, a quadratic equation with a negative discriminant has no solutions. However, at a more advanced level you will learn that it has two solutions which form a complex conjugate pair.
If the discriminant of a quadratic equation equals zero what is true of the equation?
It has one real solution.
How many discriminant did this quadratic equation have -4j2 3j-280?
A quadratic equation has one discriminant.
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.
What determines if a quadratic function has no x-intercepts?
If the quadratic function is written as ax2 + bx + c, then it has no x-intercepts if the discriminant, (b2 - 4ac), is negative.
What is the discriminant of a quadratic function?
The form of the quadratic is ax2+bx+c, so the discriminant is b2-4ac.
What is true of the discriminant when the two real number solutions to a quadratic equation are rational numbers?
The discriminant must be a perfect square or a square of a rational number.
What type of description is true of the discriminant for the graph below?
To accurately describe the discriminant for the graph, one would need to examine the nature of the roots of the quadratic equation represented by the graph. If the graph intersects the x-axis at two distinct points, the discriminant is positive. If it touches the x-axis at one point, the discriminant is zero. If the graph does not intersect the x-axis at all, the discriminant is negative.
