Is 123 Toolbox free to use?

Yes. Every tool on 123 Toolbox is free and runs directly in your browser — no account or payment required.

Are my files uploaded to a server?

No. Files and text are processed locally in your browser and are not uploaded by 123 Toolbox, except for a few tools that clearly depend on an external resource.

What kinds of tools are available?

123 Toolbox includes hundreds of tools for PDFs, images, developers, designers, Khmer language, geospatial data, security, math, and everyday work.

Which languages does 123 Toolbox support?

The interface supports English, Khmer, and a bilingual English–Khmer mode.

How do I use Quadratic Equation Solver?

Enter a, b, and c Read the discriminant and roots with steps

Is Quadratic Equation Solver free to use?

Yes. Quadratic Equation Solver on 123 Toolbox is free and runs directly in your browser — no account or payment required.

Do I need to install anything to use Quadratic Equation Solver?

No installation is required. It runs in a modern web browser and processes your input locally on your device.

Is Quadratic Equation Solver available in Khmer?

Yes. The 123 Toolbox interface supports English, Khmer, and a bilingual English–Khmer mode.

All tools / ឧបករណ៍ទាំងអស់Quadratic Equation Solver — ដោះស្រាយសមីការដឺក្រេទី២

Quadratic Equation Solver

ដោះស្រាយសមីការដឺក្រេទី២

Solve ax² + bx + c = 0 and see the discriminant, the real or complex roots, and the full working steps. / ដោះស្រាយ ax² + bx + c = 0 ហើយមើលឌីស្គ្រីមីណង់ ឫសពិត ឬឫសកុំផ្លិច និងជំហានគណនាពេញលេញ។

a (x² coefficient) / a (មេគុណ x²) / a (x² coefficient) / a (មេគុណ x²)b (x coefficient) / b (មេគុណ x) / b (x coefficient) / b (មេគុណ x)c (constant) / c (ថេរ) / c (constant) / c (ថេរ)

Discriminant / ឌីស្គ្រីមីណង់ Δ / Discriminant / ឌីស្គ្រីមីណង់ Δ

Roots / ឫស / Roots / ឫស

x₁ = 2, x₂ = 1

Steps / ជំហាន / Steps / ជំហាន

Equation / សមីការ: 1x² − 3x + 2 = 0
Coefficients / មេគុណ: a = 1, b = -3, c = 2
Discriminant / ឌីស្គ្រីមីណង់ Δ = b² − 4ac = 9 − 8 = 1
Δ > 0 → two distinct real roots / Δ > 0 → ឫសពិតពីរផ្សេងគ្នា
√Δ = 1
x₁ = (−b + √Δ) / (2a) = (3 + 1) / 2 = 2
x₂ = (−b − √Δ) / (2a) = (3 − 1) / 2 = 1

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Frequently asked questions / សំណួរដែលសួរញឹកញាប់

Solve ax²+bx+c=0 with step-by-step working: discriminant, real or complex roots. / ដោះស្រាយ ax²+bx+c=0 មួយជំហានម្តង៖ ឌីស្គ្រីមីណង់ ឫសពិត ឬឫសកុំផ្លិច។

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