Question:medium
Let \(a,b,c \in \{1,2,3,4\}\). If the probability that
\[
ax^2 + 2\sqrt{2}\,bx + c>0 \quad \text{for all } x \in \mathbb{R}
\]
is \( \frac{m}{n} \), where \(\gcd(m,n)=1\), then \(m+n\) is equal to _____.
Let \(a,b,c \in \{1,2,3,4\}\). If the probability that
\[
ax^2 + 2\sqrt{2}\,bx + c>0 \quad \text{for all } x \in \mathbb{R}
\]
is \( \frac{m}{n} \), where \(\gcd(m,n)=1\), then \(m+n\) is equal to _____.
Updated On: Apr 10, 2026
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Correct Answer: 41
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