# Without Solving the Quadratic Equation 6x2 – X – 2=0, Find Whether X = 2/3 is a Solution of this Equation Or Not. - Mathematics

Sum

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

#### Solution

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

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#### APPEARS IN

Selina Concise Maths Class 10 ICSE
Exercise 5 (C) | Q 26 | Page 60