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Algebra
Quadratic Equation Solver
Finds real roots of any quadratic equation ax² + bx + c = 0 using the quadratic formula. Use it whenever you need to factor a parabola, find x-intercepts, or solve physics and engineering problems involving squared variables.
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Algebra
2x2 System of Equations Solver
Solve a 2×2 system of linear equations in the form a₁x + b₁y = c₁ and a₂x + b₂y = c₂ using Cramer's rule. Returns the x-coordinate of the intersection of the two lines; foundational for any problem with two unknowns and two constraints.
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Key differences
| Quadratic Equation Solver | 2x2 System of Equations Solver | |
|---|---|---|
| Category | Algebra | Algebra |
| Inputs required | 3 | 6 |
| Result | Solution x₁ | Solution for x |
| What it does | Finds real roots of any quadratic equation ax² + bx + c = 0 using the quadratic formula. Use it whenever you need to factor a parabola, find x-intercepts, or solve physics and engineering problems involving squared variables. | Solve a 2×2 system of linear equations in the form a₁x + b₁y = c₁ and a₂x + b₂y = c₂ using Cramer's rule. Returns the x-coordinate of the intersection of the two lines; foundational for any problem with two unknowns and two constraints. |