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How many real solutions does a quadratic equation have if its discriminant is negative?
Wiki User
∙ 11y ago
The quadratic has no real solutions.
Wiki User
∙ 11y ago
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What are the terms of a quadratic equation?
x equals negative b plus or minus the square root of b squared minus 4bc over 2a
Formula for quadratic equation?
negative b plus or minus the square root of b minus 4 times ac all over 2 a
How do you find maximum height when working with quadratic equations?
In a quadratic equation, the vertex (which will be the maximum value of a negative quadratic and the minimum value of a positive quadratic) is in the exact center of any two x values whose corresponding y values are equal. So, you'd start by solving for x, given any y value in the function's range. Then, you'd solve for y where x equals the middle value of the two x's given in the previous. For example:y = x24 = x2x = 2, -2y = (0)2y = 0Which is, indeed, the vertex of y = x2
A program to compute the real roots of the quadratic equation?
Where the equation is ax2 + bx + c the roots are given by the solutions to : (-b +/- sqrt(b2 - 4ac))/2a So you would first input the values of a, b , and c, then calculate [d = b*b - 4*a*c], and then determine whether it is positive or negative. If it is positive [d>0, or d=0], then you can continue: so the two roots of x are: (-b + sqrt(d))/2/a, and (-b - sqrt(d))/2/a. If d < 0, then you need to calculate sqrt(-d) and then display -b/2/a as the real part, and +/- sqrt(-d)/2/a as the imaginary parts.
The length of the top of the table is 5 m greater that the width The area is 84 m2 Find the dimensions of the table in meters?
7m x 12m (X) x (X+5) = 84 X2 + 5X = 84 X2 + 5X - 84 = 0 Using the Quadratic Equation yields X=(+/- 7) You can't have a negative dimension, so X = 7.
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.
What type of equation is b2-4ac?
6
What do you do if you have a negative discriminant in a quadriatic equation?
By calculating the discriminant of the equation and if it's negative the equation will have no solutions
Could you ever have three solutions to a quadratic equation?
No. By definition, a quadratic equation can have at most two solutions. For a quadratic of the form ax^2 + bx + c, when the discriminant of a quadratic, b^2 - 4a*c is positive you have two distinct real solutions. As the discriminant becomes smaller, the two solutions move closer together. When the discriminant becomes zero, the two solutions coincide which may also be considered a quadratic with only one solution. When the discriminant is negative, there are no real solutions but there will be two complex solutions - that is those involving i = sqrt(-1).
What is true about a quadratic if the discriminant is negative?
There are two complex solutions.
What kind of solution does an equation has if the discriminant is negative?
If the discriminant is negaitve, there are no "real" solutions. The solutions are "imaginary".
If the discriminant is negative the equation has solutions?
As stated in the attached link, there are three possible discriminant conditions: Positive, Zero, or Negative. If the discriminant is negative, there are no real solutions but there are two imaginary solutions. So, yes there are solutions if the discriminant is negative. The solutions are imaginary, which is perfectly acceptable as solutions.
What does the discriminant tell you?
The discriminant tells you how many solutions there are to an equation The discriminant is b2-4ac For example, two solutions for a equation would mean the discriminant is positive. If it had 1 solution would mean the discriminant is zero If it had no solutions would mean that the discriminant is negative
A quadratic equation that can be separated into two identical factors always has a discriminant that is?
Assuming the coefficients are real, the discriminant is non-negative. The reason for this is that in this case, if the solutions are complex, they must needs be conjugats of one another, i.e., two different solutions.
What is the expression b2-4ac under the radical sign in the quadratic formula?
6
What does a quadratic equation graph have with a negative discriminant?
It has a complete lack of any x-intercepts.
If the discriminant of an equation is negative?
It has two complex solutions.
