Question

Find that non zero value of k for which the equation kx2 + 1-2 ( k- 1) x + x2 = 0 the equal roots, find roots​

Answer 1

Answer:

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Answer 2

Answer:

Given that ;

Equation :

kx² + 1 - 2 ( k - 1 )x + x²

2kx² - 1 ( k - 1 )x

2kx² - kx + x

2kx² - 2kx

Discriminant ( ∆ ) = b² - 4ac

a = 2 ; b = -2 k ; c = 1

∆ = ( -2 k )² - 4 ( 2 )( 1 )

∆ = 4k²- 8

4k² = 8

k² = 8 /4

k = √ 2

k = 1.414