Question

Find the roots of the equation 2x²-5x+3=0 by factorisation method​

Answer 1

Answer:

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

Given: p(x) = 2x^{2} - 5x + 32x

2

−5x+3

To find the roots

p(x) = 2x^{2} - 5x + 3 = 02x

2

−5x+3=0

\begin{gathered}\implies 2x^{2} - 2x - 3x + 3 = 0 \\ \implies 2x(x -1) -3(x-1) = 0 \\ \implies (2x - 3)(x -1) = 0\end{gathered}

⟹2x

2

−2x−3x+3=0

⟹2x(x−1)−3(x−1)=0

⟹(2x−3)(x−1)=0

2x - 3 = 0

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