Question

Solve the following equation using the formula: 

x² + 6x – 10 = 0

Answer 1

x² + 6x – 10 = 0

Here a = 1, b = 6 and c = –10 

Then ${\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}$  

= ${\displaystyle \frac{-\left(6\right)\pm \sqrt{{(-6)}^2-4\left(1\right)(-10)}}{2\left(1\right)}}$

= ${\displaystyle \frac{-6\pm \sqrt{76}}{2}}$

= ${\displaystyle \frac{-6\pm 2\sqrt{19}}{2}}$ and ${\displaystyle \frac{-6-2\sqrt{19}}{2}}$

= ${\displaystyle -3+\sqrt{19}}$ and ${\displaystyle -3-\sqrt{19}}$