Solve the following equations for x:

Given:-


Take



We know that, Formula



⇒


⇒


⇒


⇒


⇒


⇒ 5x = 6 – x2


⇒ x2 + 5x – 6 = 0


⇒ x2 + 6x – x – 6 = 0


⇒ x(x + 6) – 1(x + 6) = 0


⇒ x = –6, 1


as given


0<x< √6


Therefore


x = 1


3