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The sum of the squares of two consecutiv...

The sum of the squares of two consecutive odd positive integers is 290. Find those integers.

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11 and 13
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KUMAR PRAKASHAN-QUADRATIC EQUATIONS-Test Your Skills
  1. The sum of the squares of two consecutive odd positive integers is 290...

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  2. Check whether the following are quadratic equations : (1) (x-3)^(2)=...

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  3. Represent the folloowing situations in the form of quadratic equations...

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  4. The sum of the squares of two positive numbers is 233 and one number i...

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  5. Find three consecutive integers such that the square of the first incr...

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  6. A two digit number such tha the product of the digits is 20. If 9 is s...

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  7. A alone takes 6 days less than the number of days taken by B alone to ...

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  8. The denominator of a fraction is one more than twice the numerator. If...

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  9. Find the roots of the following quadratic equations (if they exist) by...

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  10. Using quadratic formula, solve the following quadratic equations : (...

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  11. Solve the following for x : x^(2)+(1)/(x^(2))=(82)/(9) (2) x^(2)+(1...

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  12. The speed of a boat in still water is 15 km/h. It can go 30 km upstrea...

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  13. A girl is twice old as her sister. Four years hence, the product of th...

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  14. The area of an isosceles triangle is 60cm^(2) and the length of each o...

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  15. Two pipes running together can fill a tank in 11(1)/(9) minutes. If on...

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  16. A shopkeeper buys a number of books for Rs. 80, If he had bought 4 mor...

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  17. For the equation px^(2)+4sqrt(3)x+3=0, find the value of p, so that ...

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  18. Determine k so that the equation x^(2)-3kx+64=0 has no real roots.

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  19. The hypotenuse of a right triangle is 3sqrt(10) cm. If the smaller leg...

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  20. Determine the positive values of k for which the equation x^(2)+kx+64=...

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