Question

Without solving the quadratic equation 6x² – x – 2=0, find whether x = 2/3 is a solution of this equation or not.

Answer 1

Consider the equation, 6x² - x - 2=0

Put `x = 2/3` in LHS

LHS = `6(2/3)^2 - (2/3) -  2`

`= 24/9 -   2/3-  2`

`= (24 - 6 - 18)/9 = 0 = "RHS"`

Since LHS = RHS, Then `x = 2/3` is  a solution of the given equation