# roots of quadratic equation examples

That is, the values where the curve of the equation touches the x-axis. Nature of Roots of Quadratic Equation Discriminant Examples : The roots of the quadratic equation ax2 +bx +c = 0, a ≠ 0 are found using the formula x = [-b ± √ (b2 - 4ac)]/2a Here, b 2 - 4ac called as the discriminant (which is denoted by D) of the quadratic equation, decides the nature of roots as follows Find the roots of the quadratic equations by using the quadratic formula each of the following. Solution of Quadratic Equation. This website uses cookies to improve your experience while you navigate through the website. Example 2: what is the quadratic equation whose roots are -3, -1 and has a leading coefficient of 2 with x to represent the variable? bx − 6 = 0 is NOT a quadratic equation because there is no x 2 term. Solution: According to the problem, coefficients of the required quadratic equation are rational and its one root is 2 + √3. Online Quadratic Equation Solver; Each example follows three general stages: Take the real world description and make some equations ; Solve! The purpose of solving quadratic equations examples, is to find out where the equation equals 0, thus finding the roots/zeroes. Real World Examples of Quadratic Equations. The general approach is to collect all {x^2} terms on one side of the equation while keeping the constants to the opposite side. For example, floor of 5.6 is 5 and of -0.2 is -1. You may need to download version 2.0 now from the Chrome Web Store. = 6x2 + 3x – 4x – 2 Example 1. To solve basic quadratic equation questions or any quadratic equation problems, we need to solve the equation. Moreover, the standard quadratic equation is ax 2 + bx + c, where a, b, and c are just numbers and ‘a’ cannot be 0. At the end of the last section (Completing the Square), we derived a general formula for solving quadratic equations.Here is that general formula: For any quadratic equation ax^2+ bx + c = 0, the solutions for x can be found by using the quadratic formula: x=(-b+-sqrt(b^2-4ac))/(2a) Learning math with examples is the best approach. x 2 – 6x + 2 = 0. In the standard quadratic equation ax2 + bx + c = 0, then root of quadratic equation is given by quadratic formula as, 6x2 – x – 2 A quadratic equation has two roots or zeroes namely; Root1 and Root2. A quadratic equation has two roots. Root Types of a Quadratic Equation – Examples & Graphs Nature of the Roots. Example 13 Find the roots of the following quadratic equations, if they exist, using the quadratic formula: (i) 3x2 5x + 2 = 0 3x2 5x + 2 = 0 Comparing equation with ax2 + bx + c = 0 Here, a = 3, b = 5, c = 2 We know that, D = b2 4ac D = ( 5)2 4 (3) (2) D = 25 24 D = 1 So, the roots of the equation is given by x = ( )/2 Putting values x = ( ( 5) 1)/(2 3) x = (5 1)/6 Solving … Solved Example on Quadratic Equation Ques: Which of the following is a quadratic equation? Here A = 1, B = 6, C = 9. Example 1: Find the values of k for which the quadratic expression (x – a) (x – 10) + 1 = 0 has integral roots. Solutions of a Quadratic Equation. root1 = (-b + √(b 2-4ac)) / (2a) root1 = (-b - √(b 2-4ac)) / (2a). (3x - 1) (2x + 1) (x + 3) = 0 C. x + = x 2 Home » Mathematics » Quadratic Equation: Formula, Solutions and Examples. a can't be 0. To examine the roots of a quadratic equation, let us consider the general form a quadratic equation. A quadratic equation is a polynomial equation in a single variable where the highest exponent of the variable is 2. In this article, we are going to learn how to solve quadratic equations using two methods namely the quadratic formula and the graphical method. ... the solutions (called "roots"). Hence we have made this site to explain to you what is a quadratic equation.After understanding the concept of quadratic equations, you will be able to solve quadratic equations easily.. Now let us explain to you what is a quadratic equation. So, the values where the curve of the roots are basically the solutions ( called  roots ''...., 5/2 ( iii ) – 7/2, 5/2 ( iii ) –,. Here, a quadratic equation equation by different methods: 1 class x Maths priya12... Root of quadratic equation has no real solution then it may have two complex solutions = B2 –.... * b < 4 * a * c, find roots, find zeroes, but they same. Is 5 and of -0.2 is -1 b = 6, c = 0.. 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