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The sum of a number and its square is...

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

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RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. The sum of the squares of two consecutive odd positive integers is ...

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

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

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

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

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

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

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

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

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

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  11. A two-digit number is such that the product of its digits is 8. Whe...

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  12. A two-digit number is such that the product of the digits is 12. Wh...

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  13. A two-digit number is such that the product of its digits is 16. Wh...

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  14. A two digit number is 4 times the sum of its digits and twice the p...

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  15. The difference of squares of two numbers is 180. The square of the ...

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  16. Find two consecutive odd positive integers, sum of whose squares is...

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  17. The difference of two natural numbers is 3 and the difference of th...

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  18. The sum of the squares of two consecutive odd numbers is 394. Find ...

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  19. The sum of the squares of two consecutive even numbers is 340. Find...

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  20. A train travels a distance of 300 km at constant speed. If the spee...

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