Quadratic Formula Calculator

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Examples

∫ ln x2 ∫ ln ∫ ln xdx ∫ dx dx

Calculator

This online quadratic formula calculator helps you solve quadratic equations in a simple, step-by-step way. It identifies coefficients, calculates the discriminant, and presents each solution, as well as complex roots, so it's easy to understand how the final answer is obtained.

Quadratic Formula Calculator

Fast roots for any quadratic

Enter the values for a, b, and c, and the answer appears right away. Manual work often leads to sign slips or arithmetic gaps. Here, the same rule applies every time, so results stay steady.

Real or complex answers explained

Everything depends on the discriminant. A positive value leads to two real roots. Zero gives one repeated root. A negative value produces complex numbers. The calculator shows which case applies and explains the outcome.

Clear steps, not only final results

The process follows the classroom method. Coefficients come first, and the discriminant follows next. Then the plus–minus rule appears, and the result gets simplified. Each stage matches textbook logic, which makes comparison with notes much easier.

Flexible input for the same task

Most users enter equations as plain text, which suits quick checks. For longer tasks, you can also use PDF files, photos, or voice input. These options promote comfort and accessibility and fit different study habits without altering the math behind the solution.

Unlimited practice without restrictions

No caps block repeated use. No timers cut sessions short. The calculator stays available for homework, test review, and extra practice. This open access helps spot patterns and confirm results without pressure or forced breaks.

Steps — Solving a quadratic equation

The steps below show how the calculator handles the equation from input to final answer.

Step 1: Enter the coefficients

First, write the equation in standard form, ax² + bx + c = 0. Then place each of the numbers to their respective boxes. The one with x² will be a, the one with x will be b, and the constant will be c.

Step 2: Discriminant calculation

Next, the system evaluates b² − 4ac. This number sets the direction of the solution. A positive result gives two solutions. Zero leads to one shared root. A negative result moves the answer into complex numbers.

Step 3: Apply the quadratic formula

After that, the calculator inserts the values into the formula. The ± sign splits the process into two paths, and each one appears as a separate result, exactly as shown in algebra rules. At the end, the roots appear in a clean form. Square roots stay correct when they cannot be simplified, and complex answers include the imaginary unit when needed.

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FAQs

What equations can this quadratic formula calculator solve?

It solves standard quadratic equations in one variable written as ax² + bx + c = 0, including cases with two real roots, one repeated root, or complex solutions.

Does the calculator show how the answer is found?

Yes. Each solution comes with visible steps that show coefficient placement, discriminant results, and final roots, which aligns with the method taught in algebra classes.

Is this calculator suitable for exam preparation?

Yes. Students can check their own work, notice repeated patterns, and review different equation types in a short time.

Can the calculator be used without limits?

The calculator stays available without daily caps or attempt limits. Free access allows repeated checks during homework sets, revision tasks, and practice sessions.

Does it support files or images?

Besides text input, the calculator accepts PDFs, photos, and voice input. These options help with different study setups without changing the math process.

Quadratic Formula Calculator

Quadratic Formula Calculator

Fast roots for any quadratic

Real or complex answers explained

Clear steps, not only final results

Flexible input for the same task

Unlimited practice without restrictions

Steps — Solving a quadratic equation

Choose your plan

Free plan

AI-Plus

Expert help

FAQs

What equations can this quadratic formula calculator solve?

Does the calculator show how the answer is found?

Is this calculator suitable for exam preparation?

Can the calculator be used without limits?

Does it support files or images?

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