Question

2x²-2x+1/2=0 Solve this quadratic equation by factorisation.

Answer 1

Solution:-

given by quadratic equation:-
$2 {x}^{2} - 2x + \frac{1}{2} = 0 \\ 4 {x}^{2} - 4x + 1 = 0 \\ 4 {x}^{2} - 2x - 2x + 1 = 0 \\ 2x(2x - 2) - 1(2x - 1) = 0 \\ (2x - 1)(2x - 1) = 0 \\ x = \frac{1}{2} \\ x = \frac{1}{2}$
here , x = (1/2 , 1/2)

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Answer 2

SOLUTION IS IN THE ATTACHMENT..

THE SOLUTION OF QUADRATIC EQUATION BY FACTORISATION:
To find the solution of a quadratic equation by factorisation method, we first write a given quadratic polynomial as product of two linear factors by splitting the middle term and then equate each factor to zero to get desired roots of given quadratic equation.


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