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The difference between the squares of tw...

The difference between the squares of two numbers is 120. The square of the smaller number is twice the greater number. Find the numbers.

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The correct Answer is:
The required numbers are 12 and `sqrt(24)` or 12 and `-sqrt(24)`.
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CHETAN PUBLICATION-QUADRATIC EQUATIONS-PROBLEM SET 2
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  2. Find quadratic equation such that its roots are square of sum of the r...

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  3. The difference between the squares of two numbers is 120. The square o...

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  4. Mukund possesses RS 50 more than what Sagar possesses. The product of ...

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  5. Ranjana wants to distribute 540 oranges among some students. If 30 stu...

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  6. Mr. Dinesh owns an agricultural farm at village Talvel. The length of ...

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  7. A tank fills completely in 2 hours if both the taps are open. If only ...

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  8. Which one is the quadratic equation ?

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  9. Out of the following equations which one is not a quadratic equation ?

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  10. The roots of x^(2)+kx+k=0 are real and equal, find k.

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  11. Which of the following is the value of the discriminant for sqrt(2)x^...

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  12. Which of the following quadratic equations has roots 3,5 ?

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  13. Out of the following equations, find the equation having the sum of it...

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  14. sqrt(5)m^(2)-sqrt(5)m+sqrt(5)=0 which of the following statement is tr...

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  15. One of the roots of equation x^(2)+mx-5=0 is 2 find m.

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  16. The sum of roots (alpha+beta) = ……………… A)(-b)/a B)b/a C)(-c)/a D)c...

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  17. The roots of a quadratic equation y^(2)-16y+63=0 are ………….

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  18. If the roots of a quadratic equations are real and equal, then Delta m...

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  19. What is the value of k, If one root of the quadratic equation k x^2 - ...

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  20. If one root of quadratic equations is 1-sqrt(3) then the other root is...

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