solving-equations-with-complex-roots

Solving quadratic equations with complex roots

What are complex roots? 

• Complex numbers provide solutions for quadratic equations which have no real roots

• Complex roots occur when solving a quadratic with a negative discriminant

  • This leads to square rooting a negative number

How do we solve a quadratic equation with complex roots?

• We solve an equation with complex roots in the same way we solve any other quadratic equations

  • If in the form we can rearrange to solve

  • If in the form we can complete the square or use the quadratic formula

• We use the property along with a manipulation of surds

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