Schoolcrop

Let us first spilt the middle term.

The middle term '-5x' can be written as '- x - 3x'.

So, 2x²- 5x + 3 = 2x² - x - 3x + 3 = x(x - 1) - (x - 1) = (x - )(x - 1)

Now,2x²- 5x + 3 = 0 can be rewritten as(x - )(x - 1) = 0.

So, the values of x for 2x²-5x + 3 = 0 are the same for (2x - 3)(x - 1) = 0,

either x - = 0 or x - 1 = 0.

Now, x - = 0 gives

and x - 1 = 0 gives x = 1

So,x =

and x = 1 are the solutions of the equation.

In other words, 1 and

are the roots of the equation 2x²- 5x + 3 = 0.

(Q1)Find the roots of the equation 2x 2- 5x + 3 = 0,by factorisation.