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A quadratic equation can have either two real solutions or no real solutions.
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What does formula mean in mathematical terms?
A mathematical formula is a statement which, given all but one of a set of variables, allows you to calculate the possible value(s) of the missing variable. Many formulae will give single solutions but the quadratic formula, for example, usually has 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 are there for a system of two quadratic inequalities?
The number of solutions for a system of two quadratic inequalities can vary widely, depending on the specific inequalities involved. They may have no solutions, a finite number of solutions, or infinitely many solutions. Graphically, the solutions correspond to the regions where the corresponding quadratic curves intersect and how they relate to each inequality. Therefore, analyzing each inequality's graph is crucial to determining the solution set.
How many real solutions does a quadratic equation have if its discriminant is negative?
The quadratic has no real solutions.
What is the quadratic formula for?
The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.
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.
What is the difference between quadratic function and quadratic formula?
A quadratic function is a function where a variable is raised to the second degree (2). Examples would be x2, or for more complexity, 2x2+4x+16. The quadratic formula is a way of finding the roots of a quadratic function, or where the parabola crosses the x-axis. There are many ways of finding roots, but the quadratic formula will always work for any quadratic function. In the form ax2+bx+c, the Quadratic Formula looks like this: x=-b±√b2-4ac _________ 2a The plus-minus means that there can 2 solutions.
How many solutions to a quadratic equation?
2
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.
Most quadratic equations have how many solutions?
2
What does formula mean in mathematical terms?
A mathematical formula is a statement which, given all but one of a set of variables, allows you to calculate the possible value(s) of the missing variable. Many formulae will give single solutions but the quadratic formula, for example, usually has 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 have when it is expressed in the form of ax2 plus bx plus c0 where a does not 0?
Assuming a, b, and c are real numbers, there are three possibilities for the solutions, depending on whether the discriminant - the square root part in the quadratic formula - is positive, zero, or negative:Two real solutionsOne ("double") real solutionTwo complex solutions
