Come risolvi # 2x ^ 2 + 5x = 0 # usando la formula quadratica?
Risposta:
#x={0,-5/2}#
Spiegazione:
#ax^2+bx+c=0#
#2x^2+5x=0#
#a=2" ; "b=5" ; "c=0#
#Delta=sqrt(b^2-4*a*c)#
#Delta=sqrt(5^2-4*2*0)#
#Delta=sqrt 5^2#
#Delta=±5#
#x_("1,2")=(-b±Delta)/(2*a)#
#x_1=(-5-5)/(2*2)=-10/4=-5/2#
#x_2=(-5+5)/(2*2)=0#
#x={0,-5/2}#
#"Or simply"#
#2x^2+5x=0#
#2cancel(x^2)=-5cancel(x)#
#2x=-5#
#x=-5/2#