Question

$${ x }^{ 2 } +5 \sqrt{ 3 } x-25=0$$

Answer

x=-(5*(sqrt(3)-sqrt(7)))/2,-(5*(sqrt(3)+sqrt(7)))/2

Solution


Use the Quadratic Formula.
\[x=\frac{-5\sqrt{3}+5\sqrt{7}}{2},\frac{-5\sqrt{3}-5\sqrt{7}}{2}\]
Simplify solutions.
\[x=-\frac{5(\sqrt{3}-\sqrt{7})}{2},-\frac{5(\sqrt{3}+\sqrt{7})}{2}\]

Decimal Form: 2.284251, -10.944505