+0

algebra

0
34
1

If x^2+4bx+10 has at least one real root, find all possible values of b. Express your answer in interval notation.

Oct 10, 2020

#1
+10324
+1

If x^2+4bx+10 has at least one real root, find all possible values of b. Express your answer in interval notation.

Hello Guest!

$$x^2+4bx+10=0$$

$$x=-2b\pm \sqrt{4b^2-10}\\ 4b^2\ge10\\ b\ge\sqrt{\frac{5}{2}}$$

$$b\ge 1.5811$$

$$b\in \mathbb {R}\ |b\ge 1.5811$$    $$[\sqrt{\frac{5}{2}}]$$

!

Oct 10, 2020
edited by asinus  Oct 10, 2020