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Solve any homework
instantly.

Enter any equation, drop a homework photo, or use the math keyboard. Get step-by-step solutions instantly.

CHAPTER 4: QUADRATICS
Solve the following quadratic equation:
2x² - 5x + 2 = 0
💡 Click keys to compose complex equations directly.
TRY AN EXAMPLE:

Graph

y = 2x² - 5x + 2 = 0
1209060300-30
-6-5.09-3.98-2.97-1.97-0.960.050.961.762.573.484.395.296
x = -4.29
y : 60.163
📊
Tip: The graph shows the full function. Roots (x-intercepts) are where y = 0.
ANSWERx = 2 or x = 0.5

Step-by-step solution

Standard form

2x² - 5x + 2 = 0

Identify constants a = 2, b = -5, c = 2

Discriminant

Δ = b² - 4ac = 25 - 16 = 9

Δ > 0 → two real roots

Quadratic formula

x = (5 ± √9) / 4 = (5 ± 3) / 4

Simplify step by step
4

Solutions

x₁ = 2, x₂ = 0.5

Final roots verified
√x²★±
⚡️ STUDY BUDDY MASCOT

Learn conceptually with visual graph tracking and friendly AI guidance.

How it works in
3 simple steps

Getting accurate homework helper results is extremely straightforward and fast.

1

Snap or Type Your Equation

Upload any homework photo, activate webcam capture simulation, or compose mathematical formulas using the scientific math keyboard.

2

Crop & Inspect Boundaries

Drag and resize the custom cropping box viewport to isolate specific equations on your page. Our visual scanner parses text directly.

3

Navigate Steps & Chat AI

Walk through the dynamic step-by-step solver navigation, review interactive coordinates on the graph, or ask follow-up questions to the AI Tutor.

Students actually
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MT
Marcus T.
Junior, Engineering

"Mathway never explained WHY. Solvr shows the reasoning behind each step AND graphs it. Game changer for visual learners like me."

PS
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Sophomore, Pre-Med

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RM
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Parent of 9th grader

Frequently Asked Questions

Have questions about how StudyHobby homework solver helper processes math problems? We have answers.

Our advanced AI model solves a wide range of math subjects, including pre-algebra, algebra, coordinate geometry, trigonometry, calculus (derivatives and integrals), and basic sciences. You can upload files or compose equations directly.

Simply click the 'Camera' button to open a simulation of active video capture, or click 'Upload' to drop a photo. You can drag the corners of the purple cropping box to crop exact equations out of larger pages.

Yes! Use the interactive 'Next step →' and '← Back' buttons inside the solver card to move forwards or backwards at your own pace. Dots and step indexes update dynamically to trace progress.

Beneath the solution steps, you can type follow-up questions directly into the AI Tutor Chat interface. Ask it to explain steps in detail, show alternative methods, or provide practice samples.

Absolutely. Solved equations dynamically map coordinate curves on our 2D graph visualizer canvas. Hovering over key coordinate points (like vertices and roots) displays exact points.