Question

find m, it the quadratic
the quadratic equation
2(m-1) x+1=0
real and equal root's.​

Answer 1

Answer:

2

Step-by-step explanation:

For the quadratic equation,

$(m - 1)x^{2} - 2(m - 1)x + 1 = 0$

Discriminant = $(- 2( m - 1))^2- 4 * ( m - 1 )x + 1 = 0$

$4m^{2} - 8m + 4 - 4m + 4 = 0$

$4m^2 - 12m + 8 = 0$

$m^{2} - 3m + 2 = 0$

∴ $m = 1,2$

Ignore $m = 1$ as it will not be a quadratic anymore.

Hence,

$m = 2$

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