Quadratic Formula Calculator
Quickly solve quadratic equations. Enter coefficients a, b, c, and the Quadratic Formula Calculator gives exact roots instantly with real or complex solutions.
online math calculator quadratic
The Quadratic Formula Calculator will immediately provide solutions of an equation of the type ax 2 + bx + c = 0. Inserts coefficients, and computes the roots of the form x = (-b ± sqrt(b 2 -4ac)/ 2a), both real and complex.
solve quadratic equations online
Quadratic Formula Calculator is a web based application that is used to solve the quadratic equations in the form ax 2 + bx + cx = 0. The calculator uses the quadratic formula:x = (-b + or -b -) / 2a to root coefficients a, b and c. It theorizes both the real and complex solution, presenting findings in a clear and precise way. The calculator also calculates the discriminant (b 2 -4ac) to point out the two real root, one real root or complex root. This tool will save time and minimize errors in the hand such as manual errors and assist in verifying homework, assignments, and professional calculations, which are needed by students, teachers, engineers, and mathematicians. It is instant and it can work online without any form of installation and also it can provide decimals, fractions and negative coefficients.
Works – Input to Output
- Enter coefficientsa, b, and c
- Calculator computesdiscriminant = b² − 4ac
- Applies quadratic formula:x = (-b ± √discriminant) / 2a
- Determines if roots arereal or complex
- Displays roots instantly with proper formatting
No installation needed; works directly in any browser.
Testing and Final Adjustments
Exercise with simple equations: a=1, b=-3, c=2 roots such that x=1,2; a=1, b=2, c=5 roots such that x= -1 +2i complex roots such that x= -1 -2i. authenticate decimals and negative coefficients. Computation of discriminant should be done appropriately in the case of a one, two or complex root. Edge cases: a=0 must also give an error because it is not quadratic. Formatting of checks, rounding of real numbers up to 2 digits and the readability of complex numbers. Test various conditions to have accuracy and reliability. The calculator is very dependable and after rigorous trials, it can give an immediate answer to any quadratic equation that can be used in education, profession and scientific purposes.
Frequently Asked Questions - Quadratic Formula Calculator:
What is a quadratic equation?
An equation of the form ax² + bx + c = 0 where a ≠ 0.
How is it solved?
Using the quadratic formula: x = (-b ± √(b²−4ac)) / 2a.
Can it handle complex roots?
Yes, the calculator displays complex roots if the discriminant is negative.
What is the discriminant?
Discriminant = b²−4ac; it determines the type of roots.
What if a=0?
Then the equation is not quadratic; the calculator alerts the user.
Can it handle decimals?
Yes, decimals and fractions are supported for coefficients.
Is it useful for students?
Yes, for homework, exams, and verifying solutions.
Do I need to install it?
No, it works instantly online without installation.
Can it handle negative coefficients?
Yes, negative numbers are fully supported.
Why use a quadratic formula calculator?
It saves time, reduces errors, and provides instant, accurate roots.
