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Persamaan kuadrat yang akar-akarnya  adalah ..

Persamaan kuadrat yang akar-akarnya 2 plus square root of 5 space dan space 2 minus square root of 5 adalah ..

  1. straight x squared space plus space 4 straight x space plus space 1 space equals space 0

  2. straight x squared space minus space 4 straight x space minus space 1 space equals space 0

  3. straight x squared space minus space 4 straight x space plus space 1 space equals space 0

  4. straight x squared space minus space 4 straight x space plus space 1 space equals space 0

  5. straight x squared minus straight x plus space 4 equals 0

Jawaban:

straight x subscript 1 equals 2 plus square root of 5  straight x subscript 2 equals 2 minus square root of 5  straight x subscript 1 plus straight x subscript 2 equals 2 plus square root of 5 plus 2 minus square root of 5 equals 4  straight x subscript 1 space. space straight x subscript 2 equals left parenthesis 2 plus square root of 5 right parenthesis space left parenthesis 2 minus square root of 5 right parenthesis equals 4 minus 5 equals negative 1  Persamaan space kuadrat colon  straight x squared space minus left parenthesis straight x subscript 1 space plus space straight x subscript 2 right parenthesis straight x plus left parenthesis straight x subscript 1 space end subscript. space straight x subscript 2 right parenthesis equals space 0  straight x squared space minus space 4 straight x space minus space 1 space equals space 0

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