Math, asked by technicalboyak, 11 months ago

the equation x(x - 1) - (m + 1)/ (x - 1)(m - 1) = x/m, the roots are equal when m =

Answers

Answered by amitnrw
17

Answer:

the equation x(x - 1) - (m + 1)/ (x - 1)(m - 1) = x/m, the roots are equal when m =-1/2

Step-by-step explanation:

( x(x - 1) - (m + 1))/ (x - 1)(m - 1) = x/m

=> mx(x-1) - m(m+1) = x(x-1)(m-1)

=> x(x-1)(m-(m-1) - m(m+1) = 0

=> x(x-1) - m(m+1) = 0

=> x² - x  - m(m+1) = 0

rootrs are equal if

D = 0 = b² - 4ac

(-1)² - 4(1)(-m(m+1)) = 0

=> 1 + 4m² + 4m = 0

=> 4m² + 2m + 2m + 1 = 0

=> 2m(2m +1) + 1(2m+1) = 0

=> (2m+1)² = 0

=> m = -1/2

Answered by David12345
4

Answer:

the equation x(x - 1) - (m + 1)/ (x - 1)(m - 1) = x/m, the roots are equal when m =-1/2

Step-by-step explanation:

( x(x - 1) - (m + 1))/ (x - 1)(m - 1) = x/m

=> mx(x-1) - m(m+1) = x(x-1)(m-1)

=> x(x-1)(m-(m-1) - m(m+1) = 0

=> x(x-1) - m(m+1) = 0

=> x² - x  - m(m+1) = 0

rootrs are equal if

D = 0 = b² - 4ac

(-1)² - 4(1)(-m(m+1)) = 0

=> 1 + 4m² + 4m = 0

=> 4m² + 2m + 2m + 1 = 0

=> 2m(2m +1) + 1(2m+1) = 0

=> (2m+1)² = 0

=> m = -1/2

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