Question

$$78 { x }^{ 2 } +98x-89=0$$

Answer

x=-(49-sqrt(9343))/78,-(49+sqrt(9343))/78

Solution


Use the Quadratic Formula.
\[x=\frac{-98+2\sqrt{9343}}{156},\frac{-98-2\sqrt{9343}}{156}\]
Simplify solutions.
\[x=-\frac{49-\sqrt{9343}}{78},-\frac{49+\sqrt{9343}}{78}\]

Decimal Form: 0.611015, -1.867426