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This program computes roots of a quadratic equation when its coefficients are known. The standard form of a quadratic equation is: ax 2 + bx + c = 0, where a, b and c are real numbers and a ≠ 0. To find the roots of such equation, we use the formula, (root1,root2) = (-b ± √b 2-4ac)/2. The term b 2-4ac is known as the discriminant of 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±√(b 2-4ac)]/2a
Mar 20, 2024 · Examples: Using the quadratic formula to Solve quadratic equations in Python. Using the direct formula Using the below quadratic formula we can find the root of the quadratic equation. x=\frac {-b\pm \sqrt {b^2-4ac}} {2a} x = 2a−b± b2−4ac. The values of the roots depend on the term (b2 – 4ac) which is known as the discriminant (D).
Apr 13, 2016 · Logic to find all roots of a quadratic equation. Based on the above formula let us write step by step descriptive logic to find roots of a quadratic equation. Input coefficients of quadratic equation from user. Store it in some variable say a, b and c. Find discriminant of the given equation, using formula discriminant = (b*b) – (4*a*c).
Mar 1, 2021 · The above mentioned formula is what used for the calculation of the quadratic roots and in order to apply this formula we first have to get our equation right in accordance to ax²+bx+c=0 and get the separate values of the coefficients a,b and c so that it can be put into the formula. We will ultimately get the value of x by solving the above ...
So, x = -1 is a root of the quadratic equation 3x 2 2 + x - 2 = 0. Similarly, x = 2/3 is another root of the equation. But x = 2 is not a root of 3x 2 2 + x - 2 = 0 because 3 ∙ 2 2 2 + 2 - 2 ≠ 0. Solved examples to find the roots of a quadratic equation: 1. Without solving the quadratic equation 3x 2 2 - 2x - 1 = 0, find whether x = 1 is a ...
About the quadratic formula. Solve an equation of the form a x 2 + b x + c = 0 by using the quadratic formula: x =. − b ± √ b 2 − 4 a c. 2 a.
