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How many real solutions can the quadratic formula give?
A quadratic equation can have either two real solutions or no real solutions.
Does a quadratic equation always have two solutions?
A quadratic equation can have two solutions, one solution, or no real solutions, depending on its discriminant (the part of the quadratic formula under the square root). If the discriminant is positive, there are two distinct real solutions; if it is zero, there is exactly one real solution (a repeated root); and if it is negative, there are no real solutions, only complex ones. Thus, a quadratic equation does not always have two solutions.
How many real solutions does a quadratic equation have if its discriminant is zero?
It will then have two equal real solutions
What happens in the quadratic formula that yields no real solutions?
If the discriminant of b2-4ac in the quadratic equation formula is less than zero then the equation will have no real roots.
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 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.
Does a quadratic equation always have two solutions?
A quadratic equation can have two solutions, one solution, or no real solutions, depending on its discriminant (the part of the quadratic formula under the square root). If the discriminant is positive, there are two distinct real solutions; if it is zero, there is exactly one real solution (a repeated root); and if it is negative, there are no real solutions, only complex ones. Thus, a quadratic equation does not always have two solutions.
How many real solutions does a quadratic equation have if its discriminant is zero?
It will then have two equal real solutions
What happens in the quadratic formula that yields no real solutions?
If the discriminant of b2-4ac in the quadratic equation formula is less than zero then the equation will have no real roots.
A positive discriminant means the quadratic equation will have how many solutions?
Two distinct real solutions.
The discriminant determines how many solutions a quadratic equation will have and whether they are real or?
imaginary
The determines how many solutions a quadratic equation will have and whether they are real or imaginary?
discriminant
The discriminant determines how many a quadratic equation will have and whether they are real or imaginary.?
solutions
How are the real solutions of a quadratic equation related to the graph of the quadratic function?
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
What statement must be true of an equation before you can use the quadratic formula to find the solutions?
The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.
