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\n Quadratic Equation Solver
\nSolve for x in ax² + bx + c = 0
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\n Results
\n Real Solutions\n\n
\n \n Discriminant (Δ)\n 1\n
\n \n Vertex X\n 1.5\n
\n \n Vertex Y\n -0.25\n
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\n \n Solution 1 (x₁)\n 2\n
\n \n Solution 2 (x₂)\n 1\n
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\n Using formula: x = (-b ± √Δ) / 2a
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\n Parabola Graph
\nGraph of y = ax² + bx + c
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\n \n \n Parabola Curve\n
\n \n \n Vertex\n
\n \n \n Roots\n
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\n Solution Breakdown
\nDetailed step-by-step results
\n| Step | \nDescription | \nValue | \n
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| 1 | \nDiscriminant (Δ) | \n1 | \n
| 2 | \nPositive Root (x₁) | \n2 | \n
| 3 | \nNegative Root (x₂) | \n1 | \n
| 4 | \nVertex X-Coordinate | \n1.5 | \n
| 5 | \nVertex Y-Coordinate | \n-0.25 | \n