Question

$$\frac{ 25 \pm \sqrt{ - { 25 }^{ 2 } -4 \times 1 \times -39 } }{ 2 \times 1 }$$

Answer

(25-sqrt(469)*IM)/2

Solution


Simplify  \({25}^{2}\)  to  \(625\).
\[\frac{25-\sqrt{-625-4\times 1\times -39}}{2\times 1}\]
Simplify  \(4\times 1\)  to  \(4\).
\[\frac{25-\sqrt{-625-4\times -39}}{2\times 1}\]
Simplify  \(4\times -39\)  to  \(-156\).
\[\frac{25-\sqrt{-625-(-156)}}{2\times 1}\]
Remove parentheses.
\[\frac{25-\sqrt{-625+156}}{2\times 1}\]
Simplify  \(-625+156\)  to  \(-469\).
\[\frac{25-\sqrt{-469}}{2\times 1}\]
Simplify  \(\sqrt{-469}\)  to  \(\sqrt{469}\imath \).
\[\frac{25-\sqrt{469}\imath }{2\times 1}\]
Simplify  \(2\times 1\)  to  \(2\).
\[\frac{25-\sqrt{469}\imath }{2}\]