A little note : IITJEE foundation maths

Example:

Solve 2(x^{2}-6)=3(x-4)

Solution:

We have 2x^{2}-12=3x-12

that is, 2x^{2}=3x call this as Equation (1)

Transposing, 2x^{2}-3x=0

x(2x-3)=0

Hence, x=0, or 2x-3=0

Thus, the roots are 0 and \frac{3}{2}

Note:

In equation (1), above, we might have divided both sides by x and obtained the simple equation 2x=3, hence, x=\frac{3}{2}, which is one of the solutions of the given equation. But, the student must be particularly careful to notice that whenever an x, or a factor containing x, is removed by division from every term of an equation, it must not be neglected, since the equation is satisfied by x=0, which is therefore, one of the roots.

More on IITJEE foundation maths later,

Nalin Pithwa

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