If `a ,b ,a n dc` are odd integers, then prove that roots of `a x^2+b x+c=0` cannot be rational.

Explanation

To prove that the roots of the equation \( ax^2 + bx + c = 0 \) cannot be rational when \( a, b, c \) are odd integers, we can follow these steps:

### Step 1: Write the Discriminant
The discriminant \( D \) of the quadratic equation \( ax^2 + bx + c = 0 \) is given by:
\[ D = b^2 - 4ac \]

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