Reviewed by: David Chen, PhD
David Chen is a mathematician specializing in algebraic equations, with over 10 years of experience in computational mathematics and analysis.
David Chen is a mathematician specializing in algebraic equations, with over 10 years of experience in computational mathematics and analysis.
This calculator allows you to solve quadratic equations in the form ax² + bx + c = 0. You can input the values of a, b, and c, and calculate the roots of the equation.
How to Solve Quadratic Equation on Casio Calculator App
Not calculated yet.
Quadratic Equation Formula
x = (-b ± √(b² - 4ac)) / 2a
Formula Source: Investopedia
Variables:
- a: The coefficient of x²
- b: The coefficient of x
- c: The constant term
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What is a Quadratic Equation?
A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants. The solutions to a quadratic equation are found using the quadratic formula, which gives the roots of the equation.
How to Calculate the Roots of a Quadratic Equation (Example)
- Step 1: Enter the coefficients a, b, and c into the calculator.
- Step 2: Press “Calculate” to find the roots of the equation.
- Step 3: The result will show the two roots, calculated using the quadratic formula.
Frequently Asked Questions (FAQ)
- What if the discriminant is negative? If b² – 4ac is negative, the quadratic equation has no real roots but may have complex (imaginary) roots.
- What is the discriminant? The discriminant is the part of the quadratic formula under the square root (b² – 4ac) and determines the nature of the roots.
- Can I solve any quadratic equation? Yes, any quadratic equation can be solved using the quadratic formula, although some solutions may be complex.
- How do I know if a quadratic equation has one or two solutions? The number of solutions depends on the discriminant: if it’s positive, there are two real solutions; if zero, one real solution; if negative, two complex solutions.