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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

Roots

Integers

Equations

## Check the Answer

But try the problem first…

Source

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.