Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Equations and roots.

Equations and roots (B.Stat Objective problems)


The number of ordered pair of integers (x,y) satisfying the equation \(x^{2}+6x+y^{2}=4\) is

  • 2
  • 4
  • 6
  • 8

Key Concepts


Roots

Integers

Equations

Check the Answer


But try the problem first…

Answer: 4

Source
Suggested Reading

B.Stat Objective Question 71

Challenges and Thrills of Pre-College Mathematics by University Press

Try with Hints


First hint

\(x^{2}+6x+y^{2}=4\) gives \((x+3)^{2}\)=13-\(y^{2}\)

Second Hint

for 1st value positive integer of x, we have 1st and 2nd value of y and for 2nd value negative integer of x we have 3rd and 4th value of y

Final Step

then number of ordered pair is 2+2=4.

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