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Algebra 2 · A-REI

Solve Quadratic Equations with Complex Solutions

When the discriminant b²−4ac < 0, the equation has two complex (non-real) solutions x = (−b ± i√|discriminant|) / 2a.

Algebra 2Common Core HSA-REI.B.4A-REIVerified correct ✓

Worked examples

Solve: x² - 4x + 5 = 0
Answer: {"real": 2, "imag": 1}
Solve: x² + 16 = 0
Answer: {"real": 0, "imag": 4}

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Solve Quadratic Equations — Quadratic FormulaComplex Number Arithmetic — Add, Subtract, Multiply

More Algebra 2 topics

Rational Exponents — Rewrite and SimplifySimplify Radical Expressions — Products and QuotientsComplex Number Arithmetic — Add, Subtract, MultiplyModulus and Conjugate of a Complex NumberFactor Sum and Difference of CubesSimplify Rational ExpressionsPolynomial Long Division and Synthetic DivisionRemainder and Factor Theorem