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If the quadratic equation:ax^2 + bx + c has discriminant d
then its roots are x1 = [-b - sqrt(d)]/2a and x2 = [-b + sqrt(d)]/2a
If d > 0 then sqrt(d) is real and non-zero. As a result x1 and x2 are real and distinct.
If d = 0 then sqrt(d) = 0 and so x1 = x2 and both are real.
If d < 0 the sqrt(d) is imaginary so x1 and x2 form a complex conjugate pair.
What else can I help you with?
How do you know if a quadratic function is factorrable or not?
If its discriminant is less than zero it can't be factored.
How do you find the discriminant of a function?
To find the discriminant of a quadratic function, first express it in descending powers, thusax^2 + bx + c = 0 where a, b and c are real and a is non-zero.Then the discriminant is b^2 - 4ac
How many discriminant did this quadratic equation have -4j2 3j-280?
A quadratic equation has one discriminant.
How many times will the graph of a quadratic function cross or touch the x axis if the discriminant is zero?
Once.
What are quadratic equations with real roots?
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
What is the discriminant of a quadratic function?
The form of the quadratic is ax2+bx+c, so the discriminant is b2-4ac.
What determines if a quadratic function has no x-intercepts?
If the quadratic function is written as ax2 + bx + c, then it has no x-intercepts if the discriminant, (b2 - 4ac), is negative.
How do you know if a quadratic function is factorrable or not?
If its discriminant is less than zero it can't be factored.
Why does the discriminant determine the number and type of the solutions for a quadratic equation?
A quadratic equation is wholly defined by its coefficients. The solutions or roots of the quadratic can, therefore, be determined by a function of these coefficients - and this function called the quadratic formula. Within this function, there is one part that specifically determines the number and types of solutions it is therefore called the discriminant: it discriminates between the different types of solutions.
How do you find the discriminant of a function?
To find the discriminant of a quadratic function, first express it in descending powers, thusax^2 + bx + c = 0 where a, b and c are real and a is non-zero.Then the discriminant is b^2 - 4ac
How many discriminant did this quadratic equation have -4j2 3j-280?
A quadratic equation has one discriminant.
Could there be a quadratic function that has an undefined axis of symmetry?
Yes and this will happen when the discriminant of a quadratic equation is less than zero meaning it has no real roots.
How many times will the graph of a quadratic function cross or touch the x axis if the discriminant is zero?
Once.
What are quadratic equations with real roots?
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
What is the definition of quadratic discriminant?
The discriminant of the quadratic equation: y = ax^2 + bx + c is b^2 - 4ac
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 a short example of a maximum of quadratic function?
A quadratic of the form ax2 + bx + c has no maximum if a > 0: it gets infinitely large. If a = 0 then it is not a quadratic. If a < 0 then the quadratic does have a maximum, and it is -D/4a where D is the discriminant = b2 - 4ac
