Substitute the values of a, b, and c into the discriminant formula. 3 days ago · Free Mathematics solutions and answers Community Answer Solve for the discriminant and type of roots for the equation: $12 x^2+9 x+1=0$ Discriminant = ____ Type of roots: ____ Community Answer x²-x-12=0 Describe the number and types of roots using the discriminant Show steps please Community Answer Solution For Find the value of the discriminant of the quadratic equation and the number and type of solutions. Write the quadratic equation having roots -3 and -4. However, our equation is a linear equation, which means it has a different structure than a quadratic equation. (See Example 4. One also learns how to find roots of all quadratic polynomials, using square roots (arising from the discriminant) when necessary. 7x^2+7x+9=6x^2+x 6 hours ago · Click here 👆 to get an answer to your question ️ #5. The discriminant of a quadratic is the expression inside the radical of the quadratic formula. 4 days ago · Calculate the discriminant using the formula Δ = b2 − 4ac, which gives (28)2 − 4(−2)(k). In quadratic equation formula, we have \ ( b^2 - 4ac \) under root, this is discriminant of quadratic equations. 3n^2 + 8n + 8 = 2 Choose 2: A. The value of the discriminant tells us about the type and number of solutions: The square root of the discriminant appears in the quadratic formula for the roots of the quadratic polynomial: where the discriminant is zero if and only if the two roots are equal. 1 You are probably aware of the well-known formula of the discriminant for the quadratic polynomial , which is , and use this formula to compute the roots. ) 19. Now, we find the square root of the discriminant: Oct 27, 2015 · If the discriminant is equal to 0, then the quadratic equation has two real and equal roots. . 1 day ago · The discriminant, denoted by Δ (Delta), is a key part of the quadratic formula and is calculated as Δ = b2 − 4ac. x2−x+6=0 21. [6] Apply the discriminant formula. Dec 23, 2025 · Find the discriminant of 2x^2-4x+3=0and hens find the natural of root in hindi Views: 5,865 students Updated on: Dec 23, 2025 An example of a Quadratic Equation: The function can make nice curves like this one: A Parabola. If the discriminant is a negative number, then the quadratic equation will have two complex roots. In algebra, the discriminant of a polynomial is a polynomial function of its coefficients, which allows deducing some properties of the roots without computing them. BYJU’S online discriminant calculator tool makes the calculations faster and easier, where it displays the value in a fraction of seconds. two 1 day ago · Discriminant = 9 Since the discriminant is positive, we know that there will be two distinct real roots for the equation. Substituting and computing is all you need to do to find the discriminant of each quadratic equation. Click here 👆 to get an answer to your question ️ or the following quadratic equation, find the discriminant. Set the discriminant to zero to find the condition for equal roots: 784 +8k = 0. The calculator will find the discriminant of the given quadratic equation, with steps shown. x2+12x+36=0 20. Step-by-Step Explanation by PreMath. If the discriminant is greater than zero or positive, then there are 2 real solutions. Question: In Exercises 19-26, find the discriminant of the quadratic equation and describe the number and type of solutions of the equation. Explanation Understanding the Problem and Identifying Coefficients Free quadratic equation calculator - Solve quadratic equations using factoring, completing the square, and quadratic formula step-by-step. Learn how to find the discriminant of a quadratic equation, and and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills. One learns about the "factor theorem," typically in a second course on algebra, as a way to find all roots that are rational numbers. The discriminant calculator is a free online tool that gives the discriminant value for the given coefficients of a quadratic equation. Substitute in the values of , , and . For the following, find the discriminant, b2 - 4ac, and then determine whether one real-number solution, two different real-number solutions, or two different imaginary number solutions exist. (3) Show that the discrimin Dec 12, 2025 · Solution For Find the discriminant of the quadratic equations 2x²+3x-7=0 and determine the nature of roots. If a, b, c are real numbers, the polynomial has two distinct real roots if the discriminant is positive, and two complex conjugate roots if it is negative. Here’s how to approach this question To find the discriminant of the quadratic equation 8 n 2 4 n + 2 = 0, substitute the coefficients a = 8, b = 4, and c = 2 into the discriminant formula D = b 2 4 a c. Get step-by-step explanations! Jul 16, 2024 · How to find the Discriminant Quadratic Formula.

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