Question

find the values
ol m which toy
the following
equations have
equal roots?
is X + (m+3)x+
(m+6)=0​

Answer 1

Answer:

If a quadratic equation has equal roots then it's discriminant will be equal to 0ie. b^{2} - 4 ac = 0

Here equation is ( m + 1 ) x^{2} + 2( m + 3 ) x + ( m + 8 ) = 0

Here a = ( m + 1 ) b = 2( m + 3 ) , & c = ( m + 8 )

Now substitute values in equation

D = [2 ( m + 3 )]^{2} - 4 × ( m + 1 ) ( m + 8 ) = 04[m^2 + 6m + 9] - [ 4 × ( m^2 + 8 + 9m ) ] = 04m^2 + 24m + 36 - 4m^2 - 32 - 36m = 0-12m + 4 = 0 m = 4/12 = 1/3

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