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Divide 16 into two parts such that tw...

Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.

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RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. The sum of a number and its reciprocal is 2 1/(30) . Find the numbe...

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  2. A two digit number is such that the product of the digits is 14. Wh...

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  3. Divide 16 into two parts such that twice the square of the larger p...

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  4. The sum of the squares of two positive integers is 208. If the squa...

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  5. If the sum of n successive odd natural numbers starting from 3 is 4...

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  6. Find two consecutive numbers whose squares have the sum 85.

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  7. Divide 29 into two parts so that the sum of the squares of the part...

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  8. The sum of two numbers is 48 and their product is 432. Find the num...

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  9. Find the whole number which when decreased by 20 is equal to 69 tim...

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  10. Find two consecutive natural numbers whose product is 20.

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  11. The sum of the squares of two consecutive odd positive integers is ...

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  12. The sum of two numbers is 8 and 15 times the sum of their reciproca...

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  13. The sum of a number and its square is 63//4 , find the numbers.

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  14. There are three consecutive integers such that the square of the fi...

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  15. The product of two successive integral multiples of 5 is 300. Deter...

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  16. The sum of the squares of two numbers is 233 and one of the numbers...

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  17. Find the consecutive even integers whose squares have the sum 340.

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  18. Find two natural numbers which differ by 3 and whose squares have t...

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  19. Determine two consecutive multiples of 3 whose product is 270.

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  20. The sum of a number and its reciprocal is 17//4 . Find the number.

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