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How do you know how many solutions a quadratic equation will have?
Wiki User
∙ 14y ago
A quadratic equation has the form
Ax2 + Bx + C = 0,
where A, B, and C are numbers and x is a variable. Since the polynomial here has degree 2 (the highest exponent of x), it either has 0, 1, 2, or infinitely many solutions.
The infinitely many solutions only happens when A, B, and C are all equal to zero. Otherwise, we can find the number of solutions by examining the discriminant, which in this case is the quantity B2 - 4AC. If the discriminant is negative, there are no (real) solutions. If the discriminant equals zero, we have what is called a "repeated root" and there is exactly one (real) solution. Otherwise, if the discriminant is positive, there are two distinct (real) solutions.
Wiki User
∙ 14y ago
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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 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 solutions to a quardratic equation?
A quadratic equation always has TWO (2) solutions. They may be different, the same, or non-existant as real numbers (ie they only exist as complex numbers).
What are the pros and cons of the quadratic equation?
Pros: There are many real life situations in which the relationship between two variables is quadratic rather than linear. So to solve these situations quadratic equations are necessary. There is a simple equation to solve any quadratic equation. Cons: Pupils who are still studying basic mathematics will not be told how to solve quadratic equations in some circumstances - when the solutions lie in the Complex field.
How many solutions does the equation 14x plus 2 equals 12x have?
That looks like a linear equation (no quadratic or higher terms), so you can expect it to have a single solution. However, actually solving the equation is not difficult; do it, to confirm this.
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 negative?
The quadratic has no real solutions.
How many solutions to a quadratic equation?
2
How many real solutions can the quadratic formula give?
A quadratic equation can have either two real solutions or no real solutions.
In general how many distinct solutions are there to a quadratic equation?
the maximum number of solutions to a quadratic equation is 2. However, usually there is only 1.
How many solutions will the equation 25 equals 2x squared 6x have?
The quadratic equation will have two solutions.
How many total solutions are there to any quadratic equation?
2
A positive discriminant means the quadratic equation will have how many solutions?
Two distinct 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 does a quadratic equation and an absolute value equation have?
They each typically have two solutions, a positive one and a negative one.
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
