What Is B2-4Ac Called
For the Quadratic Equation Ax2 + Bx + C = 0, the Expression B2 – 4Ac Is Called the Discriminant. the Value of the Discriminant Shows How Many Roots F(X) Has: –...
For the quadratic equation ax2 + bx + c = 0, the expression b2 – 4ac is called the discriminant. The value of the discriminant shows how many roots f(x) has: – If b2 – 4ac > 0 then the quadratic function has two distinct real roots. – If b2 – 4ac = 0 then the quadratic function has one repeated real root.
Why B² 4ac is called discriminant?
Say x2 = -1 is a quadratic equation. There is no real number whose square is negative. Therefore for this equation, there are no real number solutions. Hence, the expression (b2 – 4ac) is called the discriminant of the quadratic equation ax2 + bx + c = 0.
Must Read
What is vertex form?
In geometry, a vertex form is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices. For example, a square has four corners, each is called a vertex.
What is the discriminant of 76?
The discriminant is 76, which is positive. This means that there are two real solutions.
What is the discriminant in math?
discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2.
What does a positive discriminant mean?
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.
What is the discriminant of 3x 2 10x =- 2?
The discriminant of is 76.
What is the discriminant of 9×2 2 10x?
Which equation has the solutions ? What is the discriminant of 9×2 + 2 = 10x? If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation? The discriminant is 0.
Which equation shows the quadratic formula correctly to solve 7x?
Therefore, the quadratic formula used correctly to solve 7×2 = 9 + x for x is x=1±√25314 x = 1 ± 253 14 .
Elena Rostova holds a Master's degree in Public Health Journalism. She covers groundbreaking medical research, holistic wellness trends, mental health awareness, and nutritional science.
