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If alpha+beta=5 and alpha^(3) +beta^(3)=...

If `alpha+beta=5 and alpha^(3) +beta^(3)=35`, find the quadratic equation whose roots are `alpha and beta`.

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The correct Answer is:
`x^2-5x+6=0`
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TARGET PUBLICATION-QUADRATIC EQUATIONS-Chapter Assessment
  1. Choose the correct alternative. (ii) If one root of the quadratic eq...

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  2. Choose the correct alternative. (iii) Which of the following quadrat...

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  3. Choose the correct alternative. (iv) For sqrt(3)x^2-2sqrt(2)x-2sqrt(...

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  4. Solve the following question. (i) Find the value of k for which the r...

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  5. Solve the following question. (ii) For the quadratic equation m^2+5m-...

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  6. Complete the following activities. (i) Classify the following polyno...

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  7. Complete the following activities. (ii) fill in the blanks

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  8. Solve the following questions (i) if y=2/3 is one of the roots of th...

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  9. Solve the following questions (ii) Solve the following quadratic equ...

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  10. Solve the following questions (iii) Determine the nature of the root...

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  11. Solve the following questions (iv) From the quadratic equation, if i...

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  12. Solve the following questions. (i) Solve the following qudratic equa...

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  13. Solve the following questions. (ii) Find k, if the sum of the roots ...

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  14. Find m, if the quadratic equation x^2-2(m+1)x+m^2=0

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  15. the product of two consecutive natural number is 132.find the numbers

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  16. If alpha+beta=5 and alpha^(3) +beta^(3)=35, find the quadratic equatio...

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  17. Solve the following questions. (i) Suppose height of a right angled ...

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  18. Solve the following questions. (ii) The roots of the equation x^2-3a...

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  19. Solve the following questions. (i) Find the roots of the equation x^...

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  20. Solve the following questions. (ii) A train travels 360 km with unif...

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