Question

Solve the following equation using the formula:

x² – 6x = 27

Answer 1

x² – 6x = 27

`=>` x² – 6x – 27 = 0

Here a = 1, b = – 6 and c = – 27

Then `x = (-b +- sqrt(b^2 - 4ac))/(2a)`

= `(-(-6) +- sqrt((-6)^2 - 4(1)(-27)))/(2(1))`

= `(6 +- 12)/2`

= `(6 +12)/2` and `(6 - 12)/2`

= 9 and –3