determine the condition for the roots of the equation ax2 +bx +c= 0 to

1.	determine the condition for the roots of the equation ax2 +bx +c= 0 to differ by 2
Answer» Ans. Let one root = xThen other root = x +2As We know,Difference of roots = \\(\\sqrt D \\over a\\)where D = b2-4ac\\(=> 2= {\\sqrt{b^2-4ac} \\over a}\\)\\(=> 2a= \\sqrt{b^2-4ac}\\)Squaring Both Sides We Get\\(=> 4a^2 = b^2 - 4ac\\)This is the required Condition.

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