Let S=\ : log_2(9^2a-4+13)- log_2 ( 52 .3^2a-4+1 )=2\Then the maximum value of for which the equation x^2-2( )^2x+ ( +1)^2 =0 has real roots, is ______

Question

Accepted Answer

Correct answer: 25. (25) log_2(9^2 -4+13)- log_2( 52 .3^2 -4+1)=2 ⇒ 9^2 -4+13 523^2 -4+1=4 ⇒ =2 or 3 ( +1)^2=25 ⇒x^2-50x+25 =0 has real roots ⇒ 25 ⇒ _ max=25

$Let S = {α : log_{2} (9^{2 a - 4} + 13) - log_{2} (\frac{5}{2} . 3^{2 a - 4} + 1) = 2} Then the maximum value of β for which the equation x^{2} - 2 (\sum α)^{2} x + \sum (α + 1)^{2} β = 0 has real roots, is ______$

Solution

More Quadratic Equations PYQs