Find the sum of all positive real values of the parameter a,for which the equation

$(x 2 + 4 x + 4 a + 136) 2 = 16 a (5 x 2 + 4 x + 136)$
has exactly three distinct real solutions.

Question

Find the sum of all positive real values of the parameter a , for which the equation ( x 2 + 4 x + 4 a + 136 ) 2 = 16 a ( 5 x 2 + 4 x + 136 ) has exactly three distinct real solutions.

SHAIK AASIF AHAMED · Answer

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Find the sum of all positive real values of the parameter a , for which the equation ( x 2 + 4 x + 4 a + 136 ) 2 = 16 a ( 5 x 2 + 4 x + 136 ) has exactly three distinct real solutions.

Find the sum of all positive real values of the parameter a,for which the equation

$(x 2 + 4 x + 4 a + 136) 2 = 16 a (5 x 2 + 4 x + 136)$
has exactly three distinct real solutions.

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Find the sum of all positive real values of the parameter a , for which the equation ( x 2 + 4 x + 4 a + 136 ) 2 = 16 a ( 5 x 2 + 4 x + 136 ) has exactly three distinct real solutions.

Find the sum of all positive real values of the parameter a,for which the equation (x2+4x+4a+136)2=16a(5x2+4x+136) has exactly three distinct real solutions.

1 Answers

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Find the sum of all positive real values of the parameter a,for which the equation

$(x 2 + 4 x + 4 a + 136) 2 = 16 a (5 x 2 + 4 x + 136)$
has exactly three distinct real solutions.