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In the following, determine the set o...

In the following, determine the set of values of `k` for which the given quadratic equation has real roots: `3x^2+2x+k=0` (ii) `4x^2-3k x+1=0` (iii) `2x^2+k x-4=0`

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RD SHARMA-QUADRATIC EQUATIONS-All Questions
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  2. In the following, determine the set of values of k for which the...

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  3. In the following, determine the set of values of k for which the...

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  4. Find the values of k for which the given quadratic equation has ...

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  5. The sum of a number and its reciprocal is 2 1/(30) . Find the numbe...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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