State the value of the discriminant

State the value of the discriminant for the equation 3x2 7x 3 0 1 See answers. 5 points rmzyahir Asked 05102020.

Now click the button Solve to get the output Step 3.

State the value of the discriminant. For the following equation state the value of the discriminant and then describe the nature of the solutions. 2x2-10x-120 What is the value of the discriminant. Which one of the statements below is correct.

The equation has two imaginary solutions. The equation has two real solutions. The equation has one real solution.

We next find the a b and c values. A9 b6 c1 Then substitute into the discriminant formula. 62 - 491 Finally simplify.

36- 360 The discriminant is zero meaning there is one real solution for this quadratic function. We can check the answer by graphing. The discriminant for this equation is.

Discriminant b2 4acDiscriminant 22 4 1 1Discriminant 4 4Discriminant 0 Since the discriminant is zero there should be 1 real solution to this equation. Below is a picture representing the graph and the one solution of y x2 2x 1. The procedure to use the discriminant calculator is as follows.

Enter the coefficient values such as a b and c in the given input fields Step 2. Now click the button Solve to get the output Step 3. The discriminant value will be displayed in the output field.

Start with the discriminant formula. Plug in and Square to get Multiply to get Subtract from to get So the discriminant is Since the discriminant is less than zero this means that there are two complex solutions. In other words there are no real solutions.

The discriminant Db2-4ac. Here a -9 b8 c11 so D82-4-911 or 64–396 which is 460. The discriminant is b2 - 4ac which comes from the quadratic formula and we can use this to find the nature of the roots.

Roots can occur in a. The discriminant of a quadratic is the expression inside the radical of the quadratic formula. B2 4ac b 2 - 4 a c Substitute in the values of a a b b and c c.

82 432 8 2 - 4 - 3 - 2. Ax² bx c 0 the discriminant is given by. Discriminant D b²- 4ac.

We are given the following. -6x² 2x 3 0 comparing this with the general equation above it is clear that a -6 b 2 and c 3. State the value of the discriminant.

Then determine the number of real roots of the equation. We have given n7n 8 -10. On distributing n over 7n 8.

7 n² 8n -10. On adding 10 both side to make it in standard form ax² bx c 0. State the value of the discriminant for the equation - 16308851 1.

5 points rmzyahir Asked 05102020. State the value of the discriminant for the equation 3x2 7x 3 0 1 See answers. The discriminant for a quadratic equation a x2 bx c 0 is b2 - 4ac.

And the types of root the equation has can be worked out as follows. If b2 - 4actextgreater0 the. Mathematically a standard quadratic equation can be expressed as.

Ax2bxc 0 a x 2 b x c 0 where x x is the quadratic variable and a 0 a 0. The type of the solution of a quadratic. If the discriminant value is positive the quadratic equation has two real and distinct solutions.

If the discriminant value is zero the quadratic equation has only one solution or two real and equal solutions. If the discriminant value is negative the quadratic equation has no real solutions. Example Question Using Discriminant Formula.

In mathematics the discriminant of a polynomial is a quantity that depends on the coefficients and determines various properties of the roots. It is generally defined as a polynomial function of the coefficients of the original polynomial. The discriminant is widely used in polynomial factoring number theory and algebraic geometry.

Linear discriminant analysis normal discriminant analysis or discriminant function analysis is a generalization of Fishers linear discriminant a method used in statistics and other fields to find a linear combination of features that characterizes or separates two or more classes of objects or events. The resulting combination may be used as a linear classifier or more commonly for dimensionality. The discriminant of a quadratic equation can be calculated as.

Deltab2-4ac Here we have. A1 b5 c2 So the discriminant is. Delta52-41225-817 To state the type and number of solutions we use the following property of a quadratic equation.

The quadratic equation has. No real solutions if Delta0 Here. State the value of the discriminant and the number of real solutions.

S2 2s 6 0 A 0 one B 20 one C -20 no real solutions D 20 two 17. Find the distance between the points and find the.