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What is the negative of the sum of the reciprocals of the roots of the equation 20032004x+1+1x=0?

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Important Questions on Algebra

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IOQM - PRMO and RMO
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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.3>Q 41
Both roots of the quadratic equation x2-63x+k=0 are prime numbers. The number of possible values of k is
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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.3>Q 43
Let a, b, and c be real numbers such that a-7b+8c=4 and 8a+4b-c=7. Then a2-b2+c2 is
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IOQM - PRMO and RMO
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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.3>Q 44
The zeros of the function fx=x2-ax+2a are integers. What is the sum of all possible values of a?
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IOQM - PRMO and RMO
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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.4>Q 2
Given that –2 is the solution of the equation 13mx=5x+-22, find the value of the expression m2-11m+172007
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IOQM - PRMO and RMO
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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.4>Q 3
Solve the equation 4ax-a+ba+b=0, where a and b are constants
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IOQM - PRMO and RMO
IMPORTANT
Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.4>Q 4
If x and y can take only natural number values, find the number of (x,y) pairs satisfying the equation 2x+5y=100
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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.4>Q 5
If a, b, c are real numbers such that a+1b=73; b+1c=4; c+1a=1, find abc
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IOQM - PRMO and RMO
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Non-Routine Mathematics Resource Book-1 for PRMO>Chapter 1 - Algebra>EXERCISE - 1.4>Q 6
If a, b, c, d, satisfy the equations a+7b+3c+5d=0, 8a+4b+6c+2d=-16,  2a+6b+4c+8d=16 and 5a+3b+7c+d=-16, then the value of (a+d)(b+c)=