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Persamaan kuadrat x 2 − a x + 1 = 0 mempunyai akar x 1 ​ dan x 2 ​ . Jika persamaan kuadrat x 2 + p x + q = 0 mempunyai akar x 2 ​ x 1 3 ​ ​ dan x 1 ​ x 2 3 ​ ​ , maka p = .....

Persamaan kuadrat  mempunyai akar dan . Jika persamaan kuadrat mempunyai akar  dan  , maka p = .....

  1. negative a to the power of 4 space plus space 4 a squared space minus space 2

  2. negative a to the power of 4 space minus space 4 a squared space minus space 2

  3. a to the power of 4 space minus space 4 a space squared space minus space 2

  4. a to the power of 4 space plus space 4 a squared space minus space 2

  5. a to the power of 4 space plus space 4 a squared space plus space 2

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Persamaan Kuadrat

Persamaan Kuadrat a x squared space plus space b x space plus space c space equals 0

1. space x subscript 1 plus x subscript 2 space equals space minus b over a  2. space x subscript 1 times x subscript 2 space equals c over a  3. space x subscript 1 squared plus x subscript 2 squared space equals left parenthesis x subscript 1 plus x subscript 2 right parenthesis squared minus 2 x subscript 1 times 2 x subscript 2  4. space x subscript 1 cubed plus x subscript 2 cubed equals left parenthesis x subscript 1 plus x subscript 2 right parenthesis squared minus 3 x subscript 1 times 2 x subscript 2 space left parenthesis x subscript 1 plus x subscript 2 right parenthesis

P e r s a m a a n space x squared space minus space a x space plus space 1 space equals space 0  x subscript 1 plus x subscript 2 equals negative b over a equals negative fraction numerator left parenthesis negative a right parenthesis over denominator 1 end fraction equals a  x subscript 1 times x subscript 2 equals c over a equals 1 over 1 equals 1  P e r s a m a a n space d e n g a n space a k a r space x subscript 1 cubed over x subscript 2 space d a n space x subscript 2 cubed over x subscript 1  P e r s a m a a n space u m u m space d a r i space p e r s a m a a n space k u a d r a t  x squared space minus space left parenthesis x subscript 1 space plus space x subscript 2 space right parenthesis x space plus space left parenthesis x subscript 1 space times space x subscript 2 space right parenthesis equals space 0  x subscript 1 plus x subscript 2 equals x subscript 1 cubed over x subscript 2 plus x subscript 2 cubed over x subscript 1  space space space space space space space space space space space space equals fraction numerator x subscript 1 to the power of 4 plus x subscript 2 to the power of 4 space over denominator x subscript 1 x subscript 2 end fraction  space space space space space space space space space space space space equals space fraction numerator left parenthesis x subscript 1 squared space plus space x subscript 2 squared space right parenthesis squared space minus space 2 x subscript 1 squared space x subscript 2 squared space space over denominator x subscript 1 x subscript 2 end fraction  space space space space space space space space space space space space equals fraction numerator left parenthesis a squared minus 2 right parenthesis squared space minus space 2 over denominator 1 end fraction  space space space space space space space space space space space space equals a to the power of 4 space minus space 4 a squared space plus space 2

x subscript 1 times x subscript 2 equals x subscript 1 times x subscript 2 equals x subscript 1 cubed over x subscript 2 times x subscript 2 cubed over x subscript 1 equals fraction numerator left parenthesis x subscript 1. x subscript 2 right parenthesis cubed over denominator x subscript 1. x subscript 2 end fraction equals 1 cubed over 1 equals 1  x squared minus left parenthesis x subscript 1 plus x subscript 2 right parenthesis x plus left parenthesis x subscript 1. x subscript 2 right parenthesis equals 0  x squared minus left parenthesis a to the power of 4 minus 4 a squared plus 2 right parenthesis x plus 1 equals 0 space M a k a space p equals negative a to the power of 4 plus 4 a squared minus 2

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Jika x 1 ​ , x 2 ​ adalah akar-akar dari persamaan x 2 − 2 x + 3 = 0 , maka nilai x 1 4 ​ + x 2 4 ​ = …

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