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 `x = (-b ± sqrt(b^2 - 4ac))/(2a)`  

= `(-(6) +- sqrt((-6)^2 - 4(1)(-10)))/(2(1))`

= `(-6 +- sqrt(76))/2`

= `(-6 +- 2sqrt(19))/2` and `(-6 - 2sqrt(19))/2`

= `-3 + sqrt(19)` and `-3 - sqrt(19)`