If x^2+4bx+10 has at least one real root, find all possible values of b. Express your answer in interval notation.
+14913 If x^2+4bx+10 has at least one real root, find all possible values of b. Express your answer in interval notation.
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\(x^2+4bx+10=0\)
\(x=-2b\pm \sqrt{4b^2-10}\\ 4b^2\ge10\\ b\ge\sqrt{\frac{5}{2}}\)
\(b\ge 1.5811\)
\(b\in \mathbb {R}\ |b\ge 1.5811\) \([\sqrt{\frac{5}{2}}]\)
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