To find the discriminant of the quadratic equation 2x2−4x+3=0 and determine the nature of its roots, we will follow these steps: Step 1: Identify the coefficientsThe general form of a quadratic equation is ax2+bx+c=0. For the given equation 2x2−4x+3=0:- a=2- b=−4- c=...
First, we need to identify the values for computing thediscriminant.a=49b=-126c= 102Step 2Plugging these into the formula for the discriminant gives,b2-4ac=(-126) -4(49)(102)=-4116Step 3The discriminant is negative and so we know that this equation will have two complex roots. ...
(a) Use the discriminant to determine whether the graph of this equation is a parabola, an ellipse, or a hyperbola:5x^2+4xy+2y^2=18(b) Use rotation of axes to eliminate the xy-term in the equation.(c) Sketch the graph of the equation.(d) Find the coordinates of the vertices of ...
Most students memorize the formula, identify the correct values for each variable, and successfully solve to find solutions for the equation, but few of them ever understand or appreciate the power of that piece of the formula called the discriminant. There are many additional applications for the...
To find the solution we will solve the quadratic expression by first finding the discriminant and then using the general form. If the discriminant is 0 then one only solution is obtained. Answer and Explanation:1 To find the real solution we will solve the quadratic expression it can be done...
How to Solve Quadratic Equations? Quadratic equations in one variable can be solved using the following methods: Factorization method Completing the square method Discriminant method What are the 3 Types of Equation? Based on the degree, equations can be classified into the following three types: Li...
50K What is the discriminant? In this lesson, learn the formula for how to find the discriminant of a quadratic equation. Moreover, learn about the quadratic formula, its discriminant, and the different discriminant rules. Related to this QuestionFor...
Equation, statement of equality between two expressions consisting of variables and/or numbers. In essence, equations are questions, and the development of mathematics has been driven by attempts to find answers to those questions in a systematic way. Eq
Knowing how to find the vertex of a parabola enables us to write the equation of a parabola given only limited information about it. What is the vertex of a quadratic function? The vertex of a quadratic function is the vertex of the graph of that function. Given a quadratic function in ...
What is the discriminant? In this lesson, learn the formula for how to find the discriminant of a quadratic equation. Moreover, learn about the quadratic formula, its discriminant, and the different discriminant rules. Related to this Question ...