1. Algebra 2 Warm up 11.12.13 Solve Each Equation x29 0x 3 125 02 x 2 50 0

2. And now its time for.. The Lame Joke of the day.. What did the turkey say to the computer? Google, Google, Google. 3. Definition We know that2 because (-2)(-2) =44But how do you findand (2)(2) =44 ?It is not possible to multiply to numbers together that are the same and get a negative number.Therefore we need what is called imaginary numbers: DEFINITION: iNow we can simplify1AND4i2 41 14 i2i 4. Compare Real925 1150Imaginary393i5255i1111i 1125 2 5 25025 2 5i 2Summary: You take the square root as normal, but place an i to get rid of the negative. 5. To simplify imaginary numbers 1. Imaginary numbers are like terms: Ex: 5i + 3i = 8 i2. Remember: i 2 1 3. Remove all negatives under square roots before you do anything. 4. You cant divide by an imaginary number. 6. Examples 16 4i 7i 3i49i 2 3i 2 4i 24252i 5i 10i210 7. More Examples Most complicated:i 2 i 3 i2 6 62 i2 i i i 2i 2 i6 2 2i6 i 26 i 2 i 2 i 2 6i 2 6i 2 2i 2 2 3i 2 8. Practice these on your own The solutions are on the next slide. 3644 3i9 3i 27 2i2i 6i i 74284189 9. Check your answers ANSWERS: 64 93i3i 244 3i 777 22i12 26i4 i 332i 6i i 738i8 4185i 296