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The roots of a quadratic equation ax 2 + bx + c = 0 can be found using the quadratic formula that says x = (-b ± √ (b 2 - 4ac)) /2a. Alternatively, if the quadratic expression is factorable, then we can factor it and set the factors to zero to find the roots.
We shall learn how to find the roots of quadratic equations algebraically and using the quadratic formula. The general form of a quadratic equation is ax 2 + bx + c = 0, where x is the unknown and a, b and c are known quantities such that a ≠ 0.
👉 Learn how to solve a quadratic equation by applying the quadratic formula. To apply the quadratic formula the quadratic equation must be equal to zero. ...
Then the formula will help you find the roots of a quadratic equation, i.e. the values of x where this equation is solved.
The nature of roots of a quadratic equation can be found without actually finding the roots (α, β) of the equation. This is possible by taking the discriminant value, which is part of the formula to solve the quadratic equation.
We can Factor the Quadratic (find what to multiply to make the Quadratic Equation) Or we can Complete the Square Or we can use the special Quadratic Formula:
Google Classroom. Learn how to solve quadratic equations like x^2=36 or (x-2)^2=49. What you should be familiar with before taking this lesson. Square roots. Special products of binomials. What you will learn in this lesson.
Aug 3, 2023 · How to Find the Roots of a Quadratic Equation. We can solve the quadratic equation to find its roots in different ways. Using the Quadratic Formula. As we know α and β are the two roots of the quadratic equation, whose values can be determined using the quadratic formula: (α, β) = − b ± b 2 − 4 a c 2 a.
The formula for a quadratic equation is used to find the roots of the equation. Since quadratics have a degree equal to two, therefore there will be two solutions for the equation. Suppose ax² + bx + c = 0 is the quadratic equation, then the formula to find the roots of this equation will be: x = [-b±√ (b2-4ac)]/2a.
Roots of a Quadratic Equation. The number of roots of a polynomial equation is equal to its degree. Hence, a quadratic equation has 2 roots. Let α and β be the roots of the general form of the quadratic equation :ax 2 + bx + c = 0. We can write: α = (-b-√b 2 -4ac)/2a and β = (-b+√b 2 -4ac)/2a. Here a, b, and c are real and rational.
