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A cubic has from 1 to 3 real solutions.
The fact that every cubic equation with real coefficients has at least 1 real solution comes from the intermediate value theorem.
The discriminant of the equation tells you how many roots there are.
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What are the compex roots in mathematics?
The complex roots of an equation is any solution to that equation which cannot be expressed in terms of real numbers. For example, the equation 0 = x² + 5 does not have any solution in real numbers. But in complex numbers, it has solutions.
What is the discriminant and how is it used to solve equations using the quadratic formula?
It is not to solve so much as to see the number of solutions and whether there is a real solution to the equation. b2 - 4(a)(c) A positive answer = two real solutions. A negative answer = no real solution ( complex solution i ) If zero as the answer there is one real solution.
How do you find all real solutions to the system of equations 4x 2 plus y 2 equals 100 and 4x 2 minus y 2 equals 62?
Add the two equations together. This will give you a single equation in one variable. Solve this - it should give you two solutions. Then replace the corresponding variable for each of the solutions in any of the original equations.
What is the domain and range of y equals 4x-1?
5
How many real roots does the equation 2x2-5x-3 equals 0 have?
2x2 - 5x - 3 = 0 A quadratic equation expressed in the form ax2 + bx + c = 0 has two real and distinct roots when b2 - 4ac is positive. Using the figures from the supplied equation then b2 - 4ac = 52 - (4 x 2 x -3) = 25 + 24 = 49. Therefore there are TWO real and distinct roots.
If an equation has a degree of three how many solutions will there be?
If the highest degree of an equation is 3, then the equation must have 3 solutions. Solutions can be: 1) 3 real solutions 2) one real and two imaginary solutions.
How many real solutions does a quadratic equation have if its discriminant is negative?
The quadratic has no real solutions.
How many real solutions can the quadratic formula give?
A quadratic equation can have either two real solutions or no real solutions.
If the discriminant of a quadratic equation is -4 how many solutions does the equation have?
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
How many real solutions does a quadratic equation have if its discriminant is zero?
It will then have two equal real solutions
How many solutions are there if the discriminant of the equation is positive?
There are two distinct real solutions.
A positive discriminant means the quadratic equation will have how many solutions?
Two distinct real solutions.
How many real solutions are there for the equation x2 plus 3x plus 5 equals 0?
There are no real solutions because the discriminant of the quadratic equation is less than zero.
How many solution will there be if the quadratic equation does not touch or cross the x-axis?
0 real solutions. There are other solutions in the complex planes (with i, the imaginary number), but there are no real solutions.
The discriminant determines how many a quadratic equation will have and whether they are real or imaginary.?
solutions
The determines how many solutions a quadratic equation will have and whether they are real or imaginary?
discriminant
The discriminant determines how many solutions a quadratic equation will have and whether they are real or?
imaginary
