Solve for x:
-x^2-x+6 = 0
The left hand side factors into a product with three terms:
-(x-2) (x+3) = 0
Multiply both sides by -1:
(x-2) (x+3) = 0
Split into two equations:
x-2 = 0 or x+3 = 0
Add 2 to both sides:
x = 2 or x+3 = 0
Subtract 3 from both sides:
Answer: |x = 2 or x = -3
Use quadratic formula:
Solve for x:
-x^2-x+6 = 0
Multiply both sides by -1:
x^2+x-6 = 0
x = (-1±sqrt(1^2-4 (-6)))/2 = (-1±sqrt(1+24))/2 = (-1±sqrt(25))/2 = (-1±5)/2:
x = (-1+5)/2 or x = (-1-5)/2
(-1+5)/2 = 4/2 = 2:
x = 2 or x = (-1-5)/2
(-1-5)/2 = -6/2 = -3:
Answer: |x = 2 or x = -3
P. S. COMPARE YOUR SOLUTION TO THIS ONE USING QUADRATIC FORMULA.
