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How does discriminant enable us to identify the number and type of solutions roots of a quadratic function?
Wiki User
∙ 13y ago
If the quadratic equation is ax2 + bx + c = 0 then
if the discriminant, b2 - 4ac is
greater than 0: there are two real roots = [-b + or - sqrt(b2 - 4ac)]/2a
equal to 0: there are two real coincidental roots, with the value -b/2a
less than 0: there are two complex roots = [-b + or - i*sqrt(b2 - 4ac)]/2a where i is the imaginary square root of -1.
The answer to the third case (discr<0) may be given as "there are no real roots".
Wiki User
∙ 13y ago
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You can easily identify the x-intercepts of the graph of a quadratic function by writing it as two binomial?
factors
How can you determine whether a polynomial equation has imaginary solutions?
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
What are the steps for the quadratic formula?
Put the quadratic equation into standard form; identify the coefficients (a, b, c), replace them in the equation, do the calculations.
How do you identify the y-intercept of a quadratic equation?
You replace x = 0, and do the calculations.
What would identify an expression as quadratic?
An expression is quadratic is the equation is in the form ax2 + bx + c. a, b, and c are all constants. They may be different or equal.
You can easily identify the x-intercepts of a graph of a quadratic function by writing it as two binomial what?
You can easily identify the x-intercepts of a graph of a quadratic function by writing it as two binomial factors! Source: I am in Algebra 2 Honors!
You can easily identify the x-intercepts of the graph of a quadratic function by writing it as two binomial?
factors
Given the function below what is the value of the discriminant and how many times does the graph of this function intersect or touch the x-axis?
Discriminant = 116; Graph crosses the x-axis two times
What is the discriminant of 9x2 2 10x?
The browser that is used for submitting questions does not permit many mathematical symbols. It is therefore not possible to be sure what the question was. For a quadratic equation of the form y = ax^2 + bx + c, where a, b and c are real numbers and a is non-zero, the discriminant is b^2 – 4ac.Note that the equation must first be written with descending powers of x so as to identify a, b and c.
How can you determine whether a polynomial equation has imaginary solutions?
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
What is the quadratic equation used for?
It is used to solve quadratic equations that cannot be factored. Usually you would factor a quadratic equation, identify the critical values and solve, but when you cannot factor you utilize the quadratic equation.
What are the steps for the quadratic formula?
Put the quadratic equation into standard form; identify the coefficients (a, b, c), replace them in the equation, do the calculations.
How do you identify if two solutions are isotonic?
The two solutions are then the same strength.
How do you identify the y-intercept of a quadratic equation?
You replace x = 0, and do the calculations.
What would identify an expression as quadratic?
An expression is quadratic is the equation is in the form ax2 + bx + c. a, b, and c are all constants. They may be different or equal.
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