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Find two consecutive positive even integ...

Find two consecutive positive even integers whose product is 288.

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The correct Answer is:
16 and 18
`x(x+2)=288impliesx^(2)+2x-288=0impliesx^(2)+18x-16x-288=0.`
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RS AGGARWAL-QUADRATIC EQUATIONS -Exercise 4E
  1. Find two consecutive multiples of 3 whose product is 648.

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  2. The product of two consecutive odd numbers in 483. Find the numbers.

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  3. Find two consecutive positive even integers whose product is 288.

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  4. The sum of two natural numbers is 9 and the sum of their reciprocals i...

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  5. The sum of two numbers a and b is 15, and the sum of reciprocal of num...

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

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  7. The difference of two natural numbers is 5 and the difference of their...

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  8. The sum of the squares of two consecutive multiples of 7 is 1225. Find...

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  9. The sum of a natural number and its reciprocal is (65)/(8). Find the n...

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  10. Divide 57 into two parts whose product is 680.

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  11. Divide 27 into two parts such that the sum of their reciprocals is 3/2...

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

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  13. Find two natural numbers, the sum of whose squares is 25 times their s...

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  14. The difference of the squares of two numbers is 45. The square of the ...

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  15. Three consecutive positive integers are such that the sum of the squar...

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  16. lf two digit number is four times the sum of its digits and twice the ...

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

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  18. The denominator of a positive fraction is one more than twice the nume...

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  19. The numerator of a fraction is 3 less than its denominator.If 11 is ad...

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

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