Question

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Answer 1

Given :  x²  - kx  + 4  = 0

To Find :  Value of k for which roots are equal

Solution:

x²  - kx  + 4  = 0

ax²  + bx + c = 0

Has roots equal if D = 0

D = b² - 4ac

x²  - kx  + 4  = 0

has equal roots if

(-k)²  - 4(1)(4) = 0

=> k²  - 16 = 0

=> ( k + 4)(k - 4)  = 0

=> k =   - 4 , 4

x²  - kx  + 4  = 0

k = - 4  => x²  +4x  + 4  = 0  => x = - 2 , - 2

k = 4 => x²  - 4x  + 4  = 0  => x =  2 ,   2

Please post Question one by one.

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