Answer:
x² + 6x - 5x – 30=(x-5)(x+6)
Step-by-step explanation:
x² + 6x - 5x – 30=x²+x-30
delta=1-4(-30)=1+120=121=11²
Sqrt(delta)=11
The roots are:
x1,2=(-1 +- 11)/2
Thus we get
x1=(-1+11)/2=10/2=5
x2=(-1-11)/2=-12/2=-6
Finally:
x² + 6x - 5x – 30=(x-5)(x+6)
