0
What else can I help you with?
What is the nature of zeros in quadratic function?
Nature Of The Zeros Of A Quadratic Function The quantity b2_4ac that appears under the radical sign in the quadratic formula is called the discriminant.It is also named because it discriminates between quadratic functions that have real zeros and those that do not have.Evaluating the discriminant will determine whether the quadratic function has real zeros or not. The zeros of the quadratic function f(x)=ax2+bx+c can be expressed in the form S1= -b+square root of D over 2a and S2= -b-square root of D over 2a, where D=b24ac.... hope it helps... :p sorry for the square root! i know it looks like a table or something...
What is the solutions to a quadratic function?
The solutions to a quadratic function, typically expressed in the form ( ax^2 + bx + c = 0 ), can be found using the quadratic formula: ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ). These solutions, also known as the roots, represent the x-values where the quadratic function intersects the x-axis. The discriminant ( b^2 - 4ac ) determines the nature of the solutions: if it's positive, there are two distinct real roots; if it's zero, there is one real root; and if negative, there are two complex roots.
What is the value of b2 - 4ac?
The expression ( b^2 - 4ac ) is known as the discriminant of a quadratic equation of the form ( ax^2 + bx + c = 0 ). It helps determine 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 one real root (a repeated root); and if it is negative, there are two complex roots. Thus, the value of ( b^2 - 4ac ) provides crucial information about the behavior of the quadratic function.
How do you solve a quadratic inequality when the expression is unfactorable?
Use the quadratic formula for the equality. Then, depending on the coefficient of x2 and the nature of the inequality [>, ≥, ≤, <], determine whether you need the open or closed intervals between the roots or beyond the roots.
Why do moving coil dynamometer type instruments have quadratic scale?
bcs the torque developed in dynamometer instrument is directly proportional to the square of the current passes so thts why its scale is quadratic in nature
Can you write a parody to light's up we go about the quadratic formula discriminant and nature of the roots?
yes
Using the word discriminant in sentence?
The discriminant of a quadratic equation helps determine the nature of its roots - whether they are real and distinct, real and equal, or imaginary.
What is the discriminant?
If a quadratic equation is ax2+bx+cthen we can learn something about the roots withoutcompletely solving the quadratic formula.The discriminant is b2-4ac. You may recognize this as part of the quadratic formula.If the value is a non-zero perfect square, there are 2 rational rootsIf the value is an imperfect square, there are 2 irrational rootsIf the value is zero, there is 1 rational root (parabola vertex is on the x-axis)If the value is negative, there are imaginary roots (no intersection with x-axis)The discriminant, therefore, tells us the nature of the roots.
What is the nature of zeros in quadratic function?
Nature Of The Zeros Of A Quadratic Function The quantity b2_4ac that appears under the radical sign in the quadratic formula is called the discriminant.It is also named because it discriminates between quadratic functions that have real zeros and those that do not have.Evaluating the discriminant will determine whether the quadratic function has real zeros or not. The zeros of the quadratic function f(x)=ax2+bx+c can be expressed in the form S1= -b+square root of D over 2a and S2= -b-square root of D over 2a, where D=b24ac.... hope it helps... :p sorry for the square root! i know it looks like a table or something...
What is the solutions to a quadratic function?
The solutions to a quadratic function, typically expressed in the form ( ax^2 + bx + c = 0 ), can be found using the quadratic formula: ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ). These solutions, also known as the roots, represent the x-values where the quadratic function intersects the x-axis. The discriminant ( b^2 - 4ac ) determines the nature of the solutions: if it's positive, there are two distinct real roots; if it's zero, there is one real root; and if negative, there are two complex roots.
How do you find the discriminant and number of real solutions to a quadratic equation?
To find the discriminant of a quadratic equation in the form ax^2 + bx + c = 0, you use the formula Δ = b^2 - 4ac. The discriminant helps determine the nature of the roots: if Δ > 0, there are two distinct real roots; if Δ = 0, there is one real root (a repeated root); and if Δ < 0, there are no real roots (two complex conjugate roots). The number of real solutions is directly related to the discriminant's value.
What is the discriminant in a math equation?
In a quadratic equation of the form ax2+bx + c = 0, the discriminant is b2-4ac. It determines the nature of the roots of the equation. If it is positive, there are two real roots; if is negative, there are two complex roots; if it is zero, there is one real root, often called a double root. Both real roots are rational if and only the discriminant is a perfect square.
How do you solve a quadratic inequality when the expression is unfactorable?
Use the quadratic formula for the equality. Then, depending on the coefficient of x2 and the nature of the inequality [>, ≥, ≤, <], determine whether you need the open or closed intervals between the roots or beyond the roots.
What use the discriminant to determine the nature of the roots of x2 plus 2x plus 5 equals 0?
No real roots
What do you call an organism that hunts and kills its food?
Use the discriminant to determine the nature of the roots of 4x2 + 15x + 10 = 0.
Why do moving coil dynamometer type instruments have quadratic scale?
bcs the torque developed in dynamometer instrument is directly proportional to the square of the current passes so thts why its scale is quadratic in nature
What determines the nature of the roots of a quadratic equation?
The determinant.The determinant is the part under the square root of the quadratic equation and is:b2-4ac where your quadratic is of the form: ax2+bx+cIf the determinant is less than zero then you have 'no real solutions' (as the square root of a negative number is imaginary.)If the determinant is = 0, then you have one real solution (because you can discount the square root of the quadratic equation)If the determinant is greater than zero you have two real solutions as you have (-b PLUS OR MINUS the square root of the determinant) all over 2aTo find the solutions where they exist you'll need to solve the quadratic formula or use another method.
