Solving by completing the square - non-real complex solutions
Use
- First divide by the coefficient of
. If the leading term is , divide every term by . - Complete the square, then subtract the positive constant from both sides.
- Use
to rewrite a negative number: for example, . - Take both square roots, then rearrange to give the two complex solutions.
Example 1
Solve by completing the square. Give both complex solutions.
Example 2
Solve by completing the square. Give both complex solutions.
Remember
A negative right-hand side gives no real solutions. Keep fractions exact and include both signs:
Your turn
Solve by completing the square. Give both complex solutions.
Check answer
Solve by completing the square. Give both complex solutions.
Check answer
Solve by completing the square. Give both complex solutions.
Check answer
Solve by completing the square. Give both complex solutions.
Check answer
Solve by completing the square. Give both complex solutions.
Check answer
Solve by completing the square. Give both complex solutions.
Solve by completing the square. Give both complex solutions.
Solve by completing the square. Give both complex solutions.
Solve by completing the square. Give both complex solutions.
Solve by completing the square. Give both complex solutions.