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If `alpha and beta` are the roots of equation `x^2-4x+1=0`, find `alpha^2+beta^2`

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CHETANA PUBLICATION-Quadratic Equations-EXERCISE
  1. Find the value of k for which given quadratic equation has real and eq...

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  2. Find the value of k for which given quadratic equation has real and ...

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  3. If alpha and beta are the roots of equation x^2-4x+1=0, find alpha^2+b...

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  4. If alpha and beta are the roots of equation x^2-4x+1=0, find alpha^3+b...

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  5. Find k, if one root of the equation 5x^2+6x+k=0 is five times the othe...

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  6. A man riding on a bicycle covers a distance of 60km in the direction o...

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  7. One tank can be filled up by two taps in 6 hours. The smaller tap alon...

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  8. The sum of the squares of two consecutive natural numbers is 113. Find...

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  9. The sum of the squares of two consecutive natural numbers is 41. Find ...

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  10. For doing some work, Ganesh takes 10 days more than John. Together, th...

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  11. In garden, there are some rows and columns. The number of trees in a r...

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  12. The sum of reciprocals of Reshma's age (in years) 3years ago and 5 yea...

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  13. If alpha and beta are the roots of quadratic equation 2x^2+4x+3=0, the...

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  14. Write the following quadratic equation in standard form: (m+4)(m-10)=0

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  15. If sum of the roots of quadratic equation is 10 and the product is 9, ...

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  16. Find the values of a,b,c for the following quadratic equation by compa...

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  17. Solve by factorization method: m^2-25=0

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  18. If alpha and beta are roots of quadratic equation, and alpha=-5 and b...

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  19. Vivek is 5 years elder to Kishor. The sum of the reciprocal of their a...

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  20. Solve the following quadratic equation by formula method: x^2+6x+5=0

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