Solutions:
Note: This calculator provides solutions to quadratic equations in the form ax² + bx + c = 0.
Struggling with quadratic equations? Our quadratic equation calculator is here to help! Whether you’re a student tackling algebra homework or a professional needing quick solutions, this tool simplifies the process of solving quadratic equations.
Note: This calculator provides solutions to quadratic equations in the form ax² + bx + c = 0.
A quadratic equation is a second-degree polynomial equation in a single variable, typically written in the form:
ax² + bx + c = 0
Where:
The calculator provides:
The calculator uses the quadratic formula to solve equations:
x = [-b ± √(b² - 4ac)] / (2a)
This formula is derived from completing the square and is the most reliable method for solving quadratic equations.
Quadratic equations are used in various fields:
Forgetting to include the ± sign in the formula
Miscalculating the discriminant (b² - 4ac)
Not simplifying the final answer when possible
If discriminant > 0: Two distinct real roots
If discriminant = 0: One real root (repeated)
If discriminant < 0: Two complex conjugate roots
Yes, our calculator can solve any quadratic equation with real coefficients, providing both real and complex solutions.
The calculator provides highly accurate results, typically to several decimal places. For most practical applications, this level of precision is more than sufficient.
Complex roots occur when the discriminant is negative. They are expressed in the form a + bi, where i is the imaginary unit (√-1).
No, this specific calculator is designed for quadratic equations only. Higher-degree polynomials require different solving methods.
Ready to solve your quadratic equation? Try our calculator now and get instant, accurate results with step-by-step explanations!
The discriminant is the expression under the square root in the quadratic formula: b² - 4ac. It determines the nature of the roots:
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