For which value of m following equation (m+1)x²+2(m+3)x+(2m+3)=0 has equal roots?
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Step-by-step explanation:
BrainlyHulk Genius
If a quadratic equation has equal roots then it's discriminant will be equal to 0
ie. 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 ) = 0
4[m^2 + 6m + 9] - [ 4 × ( m^2 + 8 + 9m ) ] = 0
4m^2 + 24m + 36 - 4m^2 - 32 - 36m = 0
-12m + 4 = 0
m = 4/12 = 1/3
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