Find the Value of k for this Quadratic Equation - Quick & Simple Explanation

[juol]

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[alster]

Alternate way

After obtaining the discriminant, we get
4(2k-1)²-16k² //Given
(2k-1)²-4k²//Common factor is 4
[(2k-1)+2k][(2k-1)-2k] //Difference of 2 squared binomials (quadratic factoring)

(4k-1)(-1) //Combined like terms
-4k+1=0//Further evaluation
-4k=-1
k=1/4

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