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The discriminant of a quadratic equation, represented as ( b^2 - 4ac ) in the standard form ( ax^2 + bx + c = 0 ), determines the nature of the roots of the equation. If the discriminant is positive, there are two distinct real roots; if it is zero, there is exactly one real root (a repeated root); and if it is negative, there are no real roots, indicating the roots are complex.
What else can I help you with?
What part of the a quadratic formula tells you when the quadratic equation can be solved by factoring?
The discriminant
How does the discriminant affect the roots of a quadratic equation?
If the discriminant is negative, the roots will be two unreal complex conjugates. If the discriminate is positive the roots will be real.
What is the graph for quadratic equation?
the graph for a quadratic equation ct5r
What are the different types of quadratic equation?
THERE ARE TWO TYPES OF QUADRATIC EQUATION1) complete quadratic equation2) incomplete quadratic equation
What is the difference between quadratic equation and quadratic expression?
an equation has an equals sign.
Why do you use square roots to solve quadratic equations?
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
What part of the a quadratic formula tells you when the quadratic equation can be solved by factoring?
The discriminant
How does the discriminant affect the roots of a quadratic equation?
If the discriminant is negative, the roots will be two unreal complex conjugates. If the discriminate is positive the roots will be real.
Discovered quadratic equation?
Quadratic equation
The graph of a quadratic equation is called a?
The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.
What is the part of the quadratic equation under the square root called?
Radicand
What is the graph for quadratic equation?
the graph for a quadratic equation ct5r
What are the different types of quadratic equation?
THERE ARE TWO TYPES OF QUADRATIC EQUATION1) complete quadratic equation2) incomplete quadratic equation
What are the roots of the quadratic equation below?
That depends on the equation.
How do you know if a equation is a quadratic one?
You know an equation is quadratic by looking at the degree of the highest power in the equation. If it is 2, then it is quadratic. so any equation or polynomial of the form: ax2 +bx+c=0 where a is NOT 0 and a, b and c are known as the quadratic coefficients is a quadratic equation.
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.
How do you Solve x2-5x-36 equals 0?
x2 - 5x - 36 = 0 (x - 9) (x + 4) = 0 x = 9 and x = -4 This method is called factoring and only works if the equation is a perfect square otherwise you must use the quadratic equation. There are not enough mathematical symbols here to illustrate so you'll have to look it up. But you can determine if the equation is factorable using a part of the quadratic equation called the discriminate, if the discriminate is a perfect square the equation is factorable. b2 - 4ac (discriminate) Where a,b, and c are taken from the general form ax2 + bx + c = 0 a = 1, b = -5, c = -36 If the square root of the discriminate is a whole number 3, 8, 122... the equation is factorable. Notice above that 9 x -4 = -36 the c value and 9 + (- 4) = 5 the b value. Start solving by listing all multiples of -36 and choose the two which when added give you 5.
