[" 42.If "lm x^(2)+mnx+ln" is a perfect square then prove "],[" that,"4l^(2)=mn" ."]

If lmx^(2) + mnx + ln is a perfect square then prove that, 4l^(2) = mn

x^(4)-8x^(2)+k is a perfect square then k is

Is x^(2)+4x+4 a perfect square ?

If x is a natural number.If x^2+ax+b is a perfect square prove that a^2=4b .

If the quadratic expression x^(2) + (a-4)x + (a+4) is a perfect square, then a = "______" .

If a(b-c)x^(2)+b(c-a)xy+c(a-b)y^(2)=0 is a perfect square,then (log(a+c)+log(a-2b+c))/(log(a-c)) is equal to

If x/(lm - n^(2)) = y/(mn - l^(2)) = z/(nl-m^(2)) , then prove that lx + my + nz = 0 .

If log_lx,log_mx,log_nx are in AP where x ne 1 and x is positive, prove that n^2=(ln)^(log_lm) .

Convert into perfect square. (x^2+x+1/4)-1/4

Convert into perfect square. (x^2+x+1/4)-1/4