It too will have a value of 5
If the discriminant of a quadratic equation is less than zero then it will have no real roots
Replace the discriminant (the root) in the quadratic formula with zero - that will give you the average. In other words: (average of solutions) = -b/2a.
It can tell you three things about the quadratic equation:- 1. That the equation has 2 equal roots when the discriminant is equal to zero. 2. That the equation has 2 distinctive roots when the discriminant is greater than zero. £. That the equation has no real roots when the discriminant is less than zero.
The determinant.The determinant is the part under the square root of the quadratic equation and is:b2-4ac where your quadratic is of the form: ax2+bx+cIf the determinant is less than zero then you have 'no real solutions' (as the square root of a negative number is imaginary.)If the determinant is = 0, then you have one real solution (because you can discount the square root of the quadratic equation)If the determinant is greater than zero you have two real solutions as you have (-b PLUS OR MINUS the square root of the determinant) all over 2aTo find the solutions where they exist you'll need to solve the quadratic formula or use another method.
The "zero" or "root" of such a function - or of any other function - is the answer to the question: "What value must the variable 'x' have, to let the function have a value of zero?" Or any other variable, depending how the function is defined.
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
Write an algorithm to find the root of quadratic equation
1. Quadratic Formula 2. Rational Root Theorem 3. Zero Product Theorem
Yes most of them do equal zero.
The roots of a quadratic function are where the lies interescts with the x-axis. There can be as little as zero.
READ values of a, b and c,if a is zero then stop as we do not have a quadratic,calculate value of discriminantif D is zero then there is one root: ,if D is > 0 then there are two real roots: and ,if D is < 0 there are two complex roots: and ,PRINT solution.