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Equation Solver

Linear, quadratic, 2×2/3×3 systems — step-by-step + LaTeX formula + parabola chart.

ax2+bx+c=0ax^2 + bx + c = 0
x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
Δ=b2−4ac\Delta = b^2 - 4ac
Δ = 1

Solution

x₁ = 3
x₂ = 2

📝 Step-by-step solution

  1. 1.Verilen: 1x² + (-5)x + (6) = 0
  2. 2.Diskriminant: Δ = b² − 4ac = (-5)² − 4·(1)·(6)
  3. 3.Δ = 25 − 24 = 1
  4. 4.Δ > 0 → 2 farklı gerçel kök
  5. 5.x = (−b ± √Δ) / 2a = (5 ± √1) / 2
  6. 6.√Δ = 1
  7. 7.x₁ = (5 + 1) / 2 = 3
  8. 8.x₂ = (5 − 1) / 2 = 2

📈 Parabola chart

Green dots = roots of the equation (x-axis intersections).

Frequently asked questions

It solves linear (first-degree) equations, quadratic (second-degree) equations, and 2x2 and 3x3 systems of linear equations. Each type comes with a step-by-step solution.