SOLUTION: use the quadratic formula to solve the equation. x^2-5x=-9 The solution set is

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: use the quadratic formula to solve the equation. x^2-5x=-9 The solution set is       Log On


   

Question 238974: use the quadratic formula to solve the equation.
x^2-5x=-9
The solution set is
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
use the quadratic formula to solve the equation.
x%5E2-5x=-9
The solution set is 

The quadratic formula to solve the equation

Ax%5E2%2BBx%2BC=0 is x+=+%28-B+%2B-+sqrt%28B%5E2-4AC+%29%29%2F%282A%29+ 

Get your equation in the form Ax%5E2%2BBx%2BC=0 by adding 9
to both sides:

x%5E2-5x=-9

x%5E2-5x%2B9=0

Then A=1, B=-5, and C=9

Substitute those into:

x+=+%28-B+%2B-+sqrt%28B%5E2-4AC+%29%29%2F%282A%29+

x+=+%28-%28-5%29+%2B-+sqrt%28%28-5%29%5E2-4%281%29%289%29+%29%29%2F%282%281%29%29+

x+=+%285+%2B-+sqrt%2825-36+%29%29%2F2+

x+=+%285+%2B-+sqrt%28-11%29%29%2F2+

x+=+%285+%2B-+i%2Asqrt%2811%29%29%2F2+

The solution set is:

%22%7B%22%285+%2B+i%2Asqrt%2811%29%29%2F2%22%2C%22%285+-+i%2Asqrt%2811%29%29%2F2%22%7D%22
 
Edwin