Fisherman and the Fish.

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Presentation transcript:

Fisherman and the Fish

Once upon the time lived a poor fisherman Once upon the time lived a poor fisherman. One day he caught a golden fish. The fish begged him to go free, and she promised to fulfill any of his wishes.

After hearing the story, the fisherman’s wife shouted at him and sent him back to see the magic fish. His wife wanted a new house. But in order for her to get a new house, she had to complete one of the 4 cases of the Nature of Roots.

Case I x2+3x-5=0 b2-4ac 9-4(1)(-5) 9+20=29 Real, irrational, unequal The first riddle dealt with the first case in the Nature of Roots. She had to decide which it was. x2+3x-5=0 b2-4ac 9-4(1)(-5) 9+20=29 Real, irrational, unequal

Case II The next day she wished to be a noble lady but she had to complete another riddle. 4x2+9=12x -12x -12x 4x2-12x+9=0 b2-4ac 144-4(4)(9) 144-144=0 Real, rational, and equal. She completed it right and her wish then came true.

Case III The next day, she wanted to be Queen, and had to complete the 3rd riddle. x2+9=2x2+x -x2-9 -x2-9 0=x2+x-9 1-4(1)(-9) 1+36=37 Real, irrational, unequal

Every time she sent her husband to the shore, the golden fish fulfilled the wishes of the wicked wife. The woman now wanted to be empress of the land and the sea and the fish to be her servant.

Case IV The fisherman went to the shore, and explained to the fish. She had to complete the last case. x-8=x2-2x -x+8 -x+8 o=x2-3x+8 b2-4ac 9-4(1)(8) 9-32 -23 Imaginary

She completed it and everything became Imaginary She completed it and everything became Imaginary. The gold fish disappeared. The old man went home to his old mud hut, his poor wife and a broken trough.