Developed the formula for the cubic
equation when it has three real roots
and Cardano is just not suitable as
discriminant gets negative..
Given x^3 −bx−c=0
with b>0 , c>0
(t/b)=1+((15)/2)((c^2 /b^3 ))+(√(((c^2 /b^3 ))[49−((75)/4)((c^2 /b^3 ))]))
x=(√(t+((4c^2 )/b^2 ))) −((3c)/b) ★
mrW Sir, MjS Sir please check!
if f(x)=2x^2 −12x+10.
(i) sketch the graph of y=∣f(x)∣ for
−1≤x≤7.
(ii) find the set of values of k for
which the equation ∣f(x)∣=k has 4
distinct roots.