Can the discriminant be negative
WebThe discriminant is zero if and only if at least two roots are equal. If the coefficients are real numbers, and the discriminant is not zero, the discriminant is positive if the roots are three distinct real numbers, and negative if there … WebCan a discriminant be negative - If the discriminant is negative, that means there is a negative number under the square root in the quadratic formula. You may. Math Mentor Can a discriminant be negative.
Can the discriminant be negative
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WebIf the discriminant is positive, there are [latex]2[/latex] real solutions. If it is [latex]0[/latex], there is [latex]1[/latex] real repeated solution. If the discriminant is negative, there are [latex]2[/latex] complex solutions (but no real solutions). The discriminant can also tell us about the behavior of the graph of a quadratic function. WebMar 11, 2024 · If you have a polynomial of the type ax^2+bx+c, the discriminant is b^2-4ac Having a negative discriminant means that b^2-4ac<0, and the polynominal doesn't …
WebIf the discriminant of a quadratic equation ax 2 + bx + c = 0 is negative (i.e., if b 2 - 4ac < 0), then the quadratic formula becomes x = (-b ± √(negative number) ) / 2a and hence … WebThe discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.
WebAug 1, 2015 · 1 Answer. The discriminant of the quadratic equation a x 2 + b x + c = 0 is given by b 2 − 4 a c. It is easily seen from the quadratic formula (which can be proved by … Webif the discriminant value is negative, then the roots of a quadratic equation are a; Question: if the discriminant value is negative, ... The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. View the full answer.
WebJul 6, 2009 · 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 …
WebQuadratic Equation in Standard Form: ax 2 + bx + c = 0. Quadratic Equations can be factored. Quadratic Formula: x = −b ± √ (b2 − 4ac) 2a. When the Discriminant ( b2−4ac) is: positive, there are 2 real solutions. zero, there is one real solution. negative, there are 2 complex solutions. flinders university master of public healthWebThe discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. A positive discriminant indicates that the quadratic has two distinct real number solutions. flinders university - master of social workWebThe Discriminant - Concept. The discriminant is the term underneath the square root in the quadratic formula and tells us the number of solutions to a quadratic equation. If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution. greater endodontics riverton utahWebThe discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution. flinders university masters of cbtWebIf you are asked to calculate when it hits the ground, you will get two solutions, but both of those can't be right, because physically that makes no sense. Often in that case you might get one solution with positive time, and one solution at a negative value of time, so that one you'd throw out. greater enrichment program charlotte ncWebDec 9, 2024 · Yes, the discriminant would be positive then, since there are two real solutions. KM101 Dec 9, 2024 at 14:52 Add a comment 0 If the graph of a quadratic function of x lies above or below the x -axis, in order words, fails to have real roots, then the discriminant must be negative, since in this case the square root would be imaginary. greater englewood cdcWebD = 0: in this case, the discriminant is zero, which happens when b 2 = 4ac. This means that there is one repeated real solution (a double root) to the quadratic equation. D < 0: in this case, the discriminant is negative, which happens when b 2 < 4ac. This means that there are two complex conjugate solutions to the quadratic equation. flinders university master of physiotherapy