Question

Find the roots of the equation 2x2
– 5x + 3 = 0 by factorisation.

Answer 1

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To Find :- The roots of the given equation!

2x²– 5x + 3 = 0

Using middle term splitting method !

2x²– 3x - 2x + 3 = 0

x ( 2x - 3 ) - 1 ( 2x - 3 ) = 0

( 2x - 3 ) = 0 , ( x - 1 ) = 0

x = 3/2   ,  x = 1

Hence, 3/2 and 1 are the roots of the equation.

Answer 2

Given: p(x) = $2x^{2} - 5x + 3$

To find the roots

p(x) = $2x^{2} - 5x + 3 = 0$

$\implies 2x^{2} - 2x - 3x + 3 = 0 \\ \implies 2x(x -1) -3(x-1) = 0 \\ \implies (2x - 3)(x -1) = 0$

2x - 3 = 0

x = $\dfrac{3}{2}$

x - 1 = 0

x = 1

Roots of polynomial are $\dfrac{3}{2}$ and 1