SOLUTION: x^2-4x-21=0 we must find Δ in oder to know in which conditions this equation must be solved. Δ=((-b)^2-4*a*c) (*)if Δ>0 this equation has 2 solutions x=(-bą&#8730

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: x^2-4x-21=0 we must find Δ in oder to know in which conditions this equation must be solved. Δ=((-b)^2-4*a*c) (*)if Δ>0 this equation has 2 solutions x=(-bą&#8730      Log On


   



Question 235864: x^2-4x-21=0
we must find Δ in oder to know in which conditions this equation must be solved.
Δ=((-b)^2-4*a*c)
(*)if Δ>0 this equation has 2 solutions x=(-bą√Δ)/2a.
(**)if Δ=0 this equation has only one solution x=-b/2a.
(***)if Δ<0 this equation must be solved by a transformation of Δ to a complex number.
if we apply Δ's formula:
Δ=(-(-4))^2-4*(-21)=100 then Δ>0 so we must refered to condition(*)in oder to solve this equation.
√Δ=10
this equation has 2 results x1,x2.
x1=(-(-4)-10)/2; x2=(-(-4)+10)/2
x1=-3;x2=7

S={-3;7}

Found 2 solutions by checkley77, cheikoda:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x^2-4x-21
(x-7)(x+3) ans.

Answer by cheikoda(2) About Me  (Show Source):