Equation Solver

Equation Solver

Solve linear and quadratic equations, including repeated, complex, identity and no-solution cases.

جواب سمجھیں

یہ کیسے حساب کیا جاتا ہے؟

When a is zero, the solver automatically handles the equation as linear. A negative discriminant produces a complex conjugate pair.

Quadratic formulax = (−b ± √(b² − 4ac)) ÷ 2a

ایک عملی مثال

For x² − 5x + 6 = 0, the discriminant is 1 and the roots are 3 and 2.

مفروضے، تشریح اور عام غلطیاں

حساب کے مفروضے

  • Coefficients represent ax² + bx + c = 0.
  • Coefficients are finite decimal numbers.
  • Displayed roots are rounded to twelve significant digits.

نتیجے کی تشریح کیسے کریں

  • A positive discriminant gives two real roots.
  • A zero discriminant gives one repeated real root.
  • A negative discriminant gives a complex conjugate pair.

جن عام غلطیوں سے بچنا چاہیے

  • Forgetting to move every term to one side so the other side equals zero.
  • Entering the constant term with the wrong sign.
  • Assuming a zero leading coefficient still defines a quadratic equation.