If `b=0,c<0,` is it true that the roots of `x^2+bx+c=0` are numerically equal and opposite in sign? Justify your answer.

Explanation

To determine if the roots of the quadratic equation \(x^2 + bx + c = 0\) are numerically equal and opposite in sign under the conditions \(b = 0\) and \(c < 0\), we can follow these steps:

### Step 1: Substitute the value of \(b\)
Given that \(b = 0\), we can rewrite the quadratic equation:
\[ x^2 + 0 \cdot x + c = 0 \]
This simplifies to:
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