Quadratic equation calculator

Quadratic Equation Calculator – Solve Equations with a Click!

Quadratic Equation Calculator is a valuable aid for solving equations of the following type:

ax² + bx + c = 0

Where:

This type of calculation is quick and precise. One only needs to place values of the variables into the following quadratic formula:

x = (-b ± √(b² – 4ac)) / 2a

Provide Coefficients – enter value of a, b, and c.
Hit “Calculate” – After clicking a button, the machine computes and provides an answer using the quadratic formula.
Check the Results – Receive results for complex and real roots, graphical illustrations, and a detailed solution process.

✅ Rapid & Precise – No need for calculations done by hand.
✅ Graph Representation – Observing a graph of the equation on the coordinate plane is possible.
✅ Helps with Complex Roots – Works even when b² – 4ac < 0.

Equation:

2x² + 5x − 3 = 0

Solution Using a Quadratic Formula

x = (-5 ± √(5² – 4(2)(-3))) / 2(2)

x = (-5 ± √(25 + 24)) / 4

x = (-5 ± √49) / 4

x = (-5 ± 7) / 4

x = 0.5, -3

What happens to quadratic b² – 4ac?
It determines the nature of the roots. If positive, roots are real and distinct; if zero, they are real and equal; if negative, roots are complex.
Is this calculator capable of locating the vertex of a given quadratic equation?
Certainly! The vertex (h, k) is given by:
h = -b / 2a, k = f(h).
In what fields can the quadratic equations be applied?
Quadratic equations find application in various branches of science like physics, engineering, finance, and even in business and mathematical optimization problems.

Head on over to the Equation Quadratic Calculator on Calculator3.com and get solutions with steps in seconds! 🚀